subject:(basic reproduction number)

Colorado State University

1. Mikucki, Michael A. Sensitivity analysis of the basic reproduction number and other quantities for infectious disease models.

Degree: MS(M.S.), Mathematics, 2012, Colorado State University

URL: http://hdl.handle.net/10217/67317

► Performing forward sensitivity analysis has been an integral component of mathematical modeling, yet its implementation becomes increasingly difficult with a model's complexity. For infectious disease… (more)

Subjects/Keywords: basic reproduction number; transience; sensitivity; Sensai; elasticity

Record Details Similar Records Cite « Share

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Mikucki, M. A. (2012). Sensitivity analysis of the basic reproduction number and other quantities for infectious disease models. (Masters Thesis). Colorado State University. Retrieved from http://hdl.handle.net/10217/67317

Chicago Manual of Style (16^th Edition):

Mikucki, Michael A. “Sensitivity analysis of the basic reproduction number and other quantities for infectious disease models.” 2012. Masters Thesis, Colorado State University. Accessed January 24, 2021. http://hdl.handle.net/10217/67317.

MLA Handbook (7^th Edition):

Mikucki, Michael A. “Sensitivity analysis of the basic reproduction number and other quantities for infectious disease models.” 2012. Web. 24 Jan 2021.

Vancouver:

Mikucki MA. Sensitivity analysis of the basic reproduction number and other quantities for infectious disease models. [Internet] [Masters thesis]. Colorado State University; 2012. [cited 2021 Jan 24]. Available from: http://hdl.handle.net/10217/67317.

Council of Science Editors:

Mikucki MA. Sensitivity analysis of the basic reproduction number and other quantities for infectious disease models. [Masters Thesis]. Colorado State University; 2012. Available from: http://hdl.handle.net/10217/67317

Georgia Tech

2. Tankayev, Timur. DESIGNING GOOD POLICIES FOR MEDICAL APPLICATIONS.

Degree: PhD, Industrial and Systems Engineering, 2020, Georgia Tech

URL: http://hdl.handle.net/1853/62781

► This thesis examines two topics at the intersection of mathematical decision-making and healthcare. The first part addresses a problem of designing optimal policy in ranking… (more)

▼ This thesis examines two topics at the intersection of mathematical decision-making and healthcare. The first part addresses a problem of designing optimal policy in ranking and selection. The second part critiques the standard mathematical measure of outbreak severity in epidemiology, proposes a more accurate measure, and discusses how to design an effective prevention policy. Chapter 2 of this thesis deals with the multinomial selection problem (MSP), a problem in ranking and selection. MSPs arise when designing a protocol to select the most effective drug or treatment from among multiple alternatives. The objective of MSP is to find a stopping policy for repeated independent trials, each of which reports a winner among competing alternatives, that has low expected cost and high probability of correct selection (PCS) of the best alternative. In 1959, Bechhofer, Elmaghraby and Morse formulated the problem as minimizing the worst-case expected number of trials, subject to a lower bound on PCS and upper bound on the maximum number of trials, over all probability vectors outside an indifference zone. For the case of two alternatives, we prove that if one employs a particular probability vector known as the slippage configuration, then a linear program always finds an optimal stopping policy. Chapters 3 and 4 discuss the basic reproduction number, a standard measure of potential disease spread. A proxy for the computationally intractable expected fraction of the population to be infected, it is intended to be less than one if the outbreak will die out, and to exceed one if the outbreak will become pandemic. It has long been used to predict the urgency and efficacy of proposed interventions by public health organizations which must determine the best use of limited resources. However, traditional homogeneous contact models have been largely replaced by more accurate heterogeneous contact network models. We prove that in shifting to heterogeneous contact models, the reproduction number loses its crucial theoretical properties. It cannot be used to approximate the scale of the epidemic, does not provide a threshold, and lacks a fundamental monotonicity property. Its worst-case inaccuracy is infinite. We propose to replace the reproduction number by an approximation of the expected fraction of population infected. We prove that accurate approximation is computationally feasible. We conduct a case study of a fine-grained spatial network model of the ongoing cholera outbreak in Yemen. We find that the reproduction number neither aids in assessing severity, nor identifies the important factors that affect the outbreak One of the main motivations behind studying the spread of diseases is to mitigate their impact. Resource scarcity makes developing good prevention strategies a challenging optimization problem. In Chapter 5, we tackle the problem of minimizing disease spread on a contact network subject to a limited immunization budget. We present a stochastic programming formulation to design an intervention and discuss… Advisors/Committee Members: Tovey, Craig (advisor), Alexopoulos, Christos (committee member), Goldsman, David (committee member), Ayer, Turgay (committee member), Griffin, Paul (committee member).

Subjects/Keywords: Optimization; Healthcare; Multinomial Selection; Epidemiology; Basic Reproduction Number

Record Details Similar Records Cite « Share

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Tankayev, T. (2020). DESIGNING GOOD POLICIES FOR MEDICAL APPLICATIONS. (Doctoral Dissertation). Georgia Tech. Retrieved from http://hdl.handle.net/1853/62781

Chicago Manual of Style (16^th Edition):

Tankayev, Timur. “DESIGNING GOOD POLICIES FOR MEDICAL APPLICATIONS.” 2020. Doctoral Dissertation, Georgia Tech. Accessed January 24, 2021. http://hdl.handle.net/1853/62781.

MLA Handbook (7^th Edition):

Tankayev, Timur. “DESIGNING GOOD POLICIES FOR MEDICAL APPLICATIONS.” 2020. Web. 24 Jan 2021.

Vancouver:

Tankayev T. DESIGNING GOOD POLICIES FOR MEDICAL APPLICATIONS. [Internet] [Doctoral dissertation]. Georgia Tech; 2020. [cited 2021 Jan 24]. Available from: http://hdl.handle.net/1853/62781.

Council of Science Editors:

Tankayev T. DESIGNING GOOD POLICIES FOR MEDICAL APPLICATIONS. [Doctoral Dissertation]. Georgia Tech; 2020. Available from: http://hdl.handle.net/1853/62781

University of the Western Cape

3. Fundzama, Bafana Mthobisi. Design, analysis and simulation of a robust numerical method to solve Zika virus models .

Degree: 2019, University of the Western Cape

URL: http://hdl.handle.net/11394/7122

► This thesis deals with the analysis and robust simulation of mathematical models describing Zika virus disease. Some background information about the occurrences of this disease… (more)

Subjects/Keywords: Mathematical modelling; Zika virus; Qualitative analysis; Equilibrium points; Basic reproduction number

Record Details Similar Records Cite « Share

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Fundzama, B. M. (2019). Design, analysis and simulation of a robust numerical method to solve Zika virus models . (Thesis). University of the Western Cape. Retrieved from http://hdl.handle.net/11394/7122

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Fundzama, Bafana Mthobisi. “Design, analysis and simulation of a robust numerical method to solve Zika virus models .” 2019. Thesis, University of the Western Cape. Accessed January 24, 2021. http://hdl.handle.net/11394/7122.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Fundzama, Bafana Mthobisi. “Design, analysis and simulation of a robust numerical method to solve Zika virus models .” 2019. Web. 24 Jan 2021.

Vancouver:

Fundzama BM. Design, analysis and simulation of a robust numerical method to solve Zika virus models . [Internet] [Thesis]. University of the Western Cape; 2019. [cited 2021 Jan 24]. Available from: http://hdl.handle.net/11394/7122.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Fundzama BM. Design, analysis and simulation of a robust numerical method to solve Zika virus models . [Thesis]. University of the Western Cape; 2019. Available from: http://hdl.handle.net/11394/7122

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

East Tennessee State University

4. Odero, Geophrey Otieno, Mr. Limit Cycles and Dynamics of Rumor Models.

Degree: MS, Mathematical Sciences, 2013, East Tennessee State University

URL: https://dc.etsu.edu/etd/1236

► This thesis discusses limit cycles and behavior of rumor models. The first part presents the deterministic Daley-Kendall model (DK) with arrivals and departures and… (more)

Subjects/Keywords: Basic reproduction number; Halting rate; Sensitivity analysis.; Applied Mathematics; Mathematics

Record Details Similar Records Cite « Share

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Odero, Geophrey Otieno, M. (2013). Limit Cycles and Dynamics of Rumor Models. (Thesis). East Tennessee State University. Retrieved from https://dc.etsu.edu/etd/1236

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Odero, Geophrey Otieno, Mr. “Limit Cycles and Dynamics of Rumor Models.” 2013. Thesis, East Tennessee State University. Accessed January 24, 2021. https://dc.etsu.edu/etd/1236.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Odero, Geophrey Otieno, Mr. “Limit Cycles and Dynamics of Rumor Models.” 2013. Web. 24 Jan 2021.

Vancouver:

Odero, Geophrey Otieno M. Limit Cycles and Dynamics of Rumor Models. [Internet] [Thesis]. East Tennessee State University; 2013. [cited 2021 Jan 24]. Available from: https://dc.etsu.edu/etd/1236.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Odero, Geophrey Otieno M. Limit Cycles and Dynamics of Rumor Models. [Thesis]. East Tennessee State University; 2013. Available from: https://dc.etsu.edu/etd/1236

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of South Africa

5. Abdella Arega Tessema. Modeling, analysis and numerical method for HIV-TB co-infection with TB treatment in Ethiopia .

Degree: 2018, University of South Africa

URL: http://hdl.handle.net/10500/24851

► In this thesis, a mathematical model for HIV and TB co-infection with TB treatment among populations of Ethiopia is developed and analyzed. The TB model… (more)

Subjects/Keywords: HIV; TB; Nonstandard finite difference methods; Basic reproduction number; Stability; Co-infection

Record Details Similar Records Cite « Share

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Tessema, A. A. (2018). Modeling, analysis and numerical method for HIV-TB co-infection with TB treatment in Ethiopia . (Doctoral Dissertation). University of South Africa. Retrieved from http://hdl.handle.net/10500/24851

Chicago Manual of Style (16^th Edition):

Tessema, Abdella Arega. “Modeling, analysis and numerical method for HIV-TB co-infection with TB treatment in Ethiopia .” 2018. Doctoral Dissertation, University of South Africa. Accessed January 24, 2021. http://hdl.handle.net/10500/24851.

MLA Handbook (7^th Edition):

Tessema, Abdella Arega. “Modeling, analysis and numerical method for HIV-TB co-infection with TB treatment in Ethiopia .” 2018. Web. 24 Jan 2021.

Vancouver:

Tessema AA. Modeling, analysis and numerical method for HIV-TB co-infection with TB treatment in Ethiopia . [Internet] [Doctoral dissertation]. University of South Africa; 2018. [cited 2021 Jan 24]. Available from: http://hdl.handle.net/10500/24851.

Council of Science Editors:

Tessema AA. Modeling, analysis and numerical method for HIV-TB co-infection with TB treatment in Ethiopia . [Doctoral Dissertation]. University of South Africa; 2018. Available from: http://hdl.handle.net/10500/24851

University of the Western Cape

6. Nsuami, Mozart Umba. Stochastic modeling of an HIV/AIDS epidemic with treatment .

Degree: 2019, University of the Western Cape

URL: http://hdl.handle.net/11394/7114

► The HIV/AIDS epidemic continues to be among the most devastating diseases in human history despite the new scientific advances and serious public health interventions. The… (more)

Subjects/Keywords: Incidence rate; Almost sure exponential stability; Asymptotic stability; Basic reproduction number; Stability in the mean

Record Details Similar Records Cite « Share

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Nsuami, M. U. (2019). Stochastic modeling of an HIV/AIDS epidemic with treatment . (Thesis). University of the Western Cape. Retrieved from http://hdl.handle.net/11394/7114

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Nsuami, Mozart Umba. “Stochastic modeling of an HIV/AIDS epidemic with treatment .” 2019. Thesis, University of the Western Cape. Accessed January 24, 2021. http://hdl.handle.net/11394/7114.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Nsuami, Mozart Umba. “Stochastic modeling of an HIV/AIDS epidemic with treatment .” 2019. Web. 24 Jan 2021.

Vancouver:

Nsuami MU. Stochastic modeling of an HIV/AIDS epidemic with treatment . [Internet] [Thesis]. University of the Western Cape; 2019. [cited 2021 Jan 24]. Available from: http://hdl.handle.net/11394/7114.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Nsuami MU. Stochastic modeling of an HIV/AIDS epidemic with treatment . [Thesis]. University of the Western Cape; 2019. Available from: http://hdl.handle.net/11394/7114

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Clemson University

7. Pandey, Abhishek. Modeling Dengue Transmission and Vaccination.

Degree: PhD, Mathematical Science, 2014, Clemson University

URL: https://tigerprints.clemson.edu/all_dissertations/1393

► Dengue is one of the most rapidly spreading mosquito-borne viral diseases in the world and inflicts significant health, economic and social burdens on populations.… (more)

▼ Dengue is one of the most rapidly spreading mosquito-borne viral diseases in the world and inflicts significant health, economic and social burdens on populations. In this dissertation, I studied different aspects of modeling of dengue and vector-borne diseases in general. Among various dengue models that have appeared in literature, some explicitly model the mosquito population, while others model them implicitly. In spite of extensive use of both modeling approaches, little guidance exists for which type of model should be preferred. I developed a Bayesian approach that uses a Markov chain Monte Carlo (MCMC) method to fit disease models to epidemiological data and used it to explore how well these models explain observed incidence and to find good estimates for the epidemiological parameters for dengue. I fitted dengue hemorrhagic fever data from Thailand to both type of models and found using Akaike Information Criterion that explicitly incorporating the mosquito population may not be necessary in modeling dengue transmission. On comparing my estimates of the basic reproduction number, R₀, with other estimates in literature, I found a wide variability in R₀ estimates among studies. This variability in R₀ estimate for dengue transmission is not well understood. By fitting a simple dengue model to dengue incidence for varying R₀ values, I found a logarithmic type relationship between population immunity levels and R₀, which may be a reason for the variability in R₀ estimates. The result also highlighted the importance of finding better estimates of population immunity level to help more accurately estimate R₀ and other epidemiological parameters for dengue. Driven by the seasonality in mosquito abundance and complex dynamics of denuge, introducing a vaccine may induce a transient period immediately after vaccine introduction where prevalence can spike higher than in the pre-vaccine period. These transient spikes could lead to doubts about the vaccination program among the public and decision makers, possibly impeding the vaccination program. Using simple dengue-transmission models, I found that large transient spikes in prevalence are robust phenomena that occur when vaccine efficacy and vaccine coverage is not either both very high or both very low. Despite the presence of these spikes, vaccination always reduced total number of infections in the 15 years after vaccine introduction. Therefore, policy makers should prepare for spikes in prevalence after vaccine introduction to mitigate the burden of these spikes and to accurately measure the effectiveness of the vaccine program. Advisors/Committee Members: Dimitrova, Elena, Medlock, Jan.

Subjects/Keywords: Basic Reproduction Number; Bayesian MCMC; Dengue; Parameter Estimation; Transient Spikes; Vaccination; Mathematics

Record Details Similar Records Cite « Share

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Pandey, A. (2014). Modeling Dengue Transmission and Vaccination. (Doctoral Dissertation). Clemson University. Retrieved from https://tigerprints.clemson.edu/all_dissertations/1393

Chicago Manual of Style (16^th Edition):

Pandey, Abhishek. “Modeling Dengue Transmission and Vaccination.” 2014. Doctoral Dissertation, Clemson University. Accessed January 24, 2021. https://tigerprints.clemson.edu/all_dissertations/1393.

MLA Handbook (7^th Edition):

Pandey, Abhishek. “Modeling Dengue Transmission and Vaccination.” 2014. Web. 24 Jan 2021.

Vancouver:

Pandey A. Modeling Dengue Transmission and Vaccination. [Internet] [Doctoral dissertation]. Clemson University; 2014. [cited 2021 Jan 24]. Available from: https://tigerprints.clemson.edu/all_dissertations/1393.

Council of Science Editors:

Pandey A. Modeling Dengue Transmission and Vaccination. [Doctoral Dissertation]. Clemson University; 2014. Available from: https://tigerprints.clemson.edu/all_dissertations/1393

8. Majed, Laureen. Modélisation déterministe de la transmission des infections à Papillomavirus Humain : Impact de la vaccination : Deterministic modeling for Human Papillomavirus transmission : Impact of vaccination.

Degree: Docteur es, Biostatistiques, 2012, Université Paris Descartes – Paris V

URL: http://www.theses.fr/2012PA05S010

►

Les infections à Papillomavirus Humain (HPV) sont des infections sexuellement transmissibles très fréquentes. La persistance de ces infections est un facteur causal du cancer du… (more)

▼

Les infections à Papillomavirus Humain (HPV) sont des infections sexuellement transmissibles très fréquentes. La persistance de ces infections est un facteur causal du cancer du col de l’utérus et est aussi à l’origine d’autres cancers de la zone ano-génitale et de verrues génitales chez les femmes et chez les hommes. Depuis l’introduction de deux vaccins bivalent et quadrivalent permettant de prévenir certains types d’HPV, de nombreux modèles mathématiques ont été développés afin d’estimer l’impact potentiel de différentes stratégies de vaccination. L’objectif de ce travail de thèse a été d’estimer l’impact potentiel de la vaccination en France sur l’incidence de certains cancers liés à l’HPV, notamment le cancer du col de l’utérus et le cancer anal chez les femmes françaises ; ainsi que sur la prévalence des infections à HPV 6/11/16/18. Différents modèles dynamiques de type déterministe ont été développés. Ils sont représentés par des systèmes d’équations différentielles ordinaires. Une étude théorique du comportement asymptotique d’un premier modèle comportant peu de strates a été réalisée. Le nombre de reproduction de base R0 et le nombre de reproduction avec vaccination Rv ont été estimés. Des modèles plus complexes ont intégré une structure d’âge et de comportement sexuel. Les modélisations réalisées permettent de conclure à l’impact important de la vaccination sur la prévalence des infections à HPV et sur l’incidence des cancers du col de l’utérus et de la zone anale chez les femmes françaises dans un délai de quelques décennies, si l’on prend en compte les taux de vaccination observés en France au début de la campagne de vaccination

Human Papillomavirus infection (HPV) is the most frequent sexually transmitted disease. Epidemiological studies have established a causal relationship between HPV infections and occurence of cervical cancer. These infections have also been incriminated in anogenital cancers and anogenital warts among women and men. Since the introduction of bivalent and quadrivalent vaccines which offer protection against some HPV genotypes, many mathematical models have been developed in order to assess the potential impact of vaccine strategies. The aim of this thesis work was to assess the potential impact of HPV vaccination in France on the incidence of some cancers linked with HPV, particularly cervical cancer and anal cancer in French women, and on the prevalence of HPV 6/11/16/18 infections. Different deterministic dynamic models have been developped. They are represented by systems of ordinary differential equations. A theoretical analysis of the asymptotic behavior for a first model with few strata is realized. The basic reproduction number R0 and the vaccinated reproduction number Rv are assessed. More complex models taking into account age and sexual behavior have been developed. Using vaccination rates observed in France at the launch of the vaccination campaign, our modeling shows the large impact of vaccination on HPV prevalences, on cervical cancer and anal cancer incidences…

Advisors/Committee Members: Clémençon, Stéphan (thesis director), Lounes, Rachid (thesis director).

Subjects/Keywords: Modèle déterministe; Cancer; Vaccin; Papillomavirus Humain; Nombre de reproduction de base; Deterministic model; Cancer; Vaccine; Human Papillomavirus; Basic reproduction number

Record Details Similar Records Cite « Share

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Majed, L. (2012). Modélisation déterministe de la transmission des infections à Papillomavirus Humain : Impact de la vaccination : Deterministic modeling for Human Papillomavirus transmission : Impact of vaccination. (Doctoral Dissertation). Université Paris Descartes – Paris V. Retrieved from http://www.theses.fr/2012PA05S010

Chicago Manual of Style (16^th Edition):

Majed, Laureen. “Modélisation déterministe de la transmission des infections à Papillomavirus Humain : Impact de la vaccination : Deterministic modeling for Human Papillomavirus transmission : Impact of vaccination.” 2012. Doctoral Dissertation, Université Paris Descartes – Paris V. Accessed January 24, 2021. http://www.theses.fr/2012PA05S010.

MLA Handbook (7^th Edition):

Majed, Laureen. “Modélisation déterministe de la transmission des infections à Papillomavirus Humain : Impact de la vaccination : Deterministic modeling for Human Papillomavirus transmission : Impact of vaccination.” 2012. Web. 24 Jan 2021.

Vancouver:

Majed L. Modélisation déterministe de la transmission des infections à Papillomavirus Humain : Impact de la vaccination : Deterministic modeling for Human Papillomavirus transmission : Impact of vaccination. [Internet] [Doctoral dissertation]. Université Paris Descartes – Paris V; 2012. [cited 2021 Jan 24]. Available from: http://www.theses.fr/2012PA05S010.

Council of Science Editors:

Majed L. Modélisation déterministe de la transmission des infections à Papillomavirus Humain : Impact de la vaccination : Deterministic modeling for Human Papillomavirus transmission : Impact of vaccination. [Doctoral Dissertation]. Université Paris Descartes – Paris V; 2012. Available from: http://www.theses.fr/2012PA05S010

9. Cisse, Baki. Automates cellulaires pour la modélisation et le contrôle en épidémiologie : Cellular automata for modeling and control in epidemiology.

Degree: Docteur es, Mathematiques appliquées, 2015, Perpignan

URL: http://www.theses.fr/2015PERP0011

►

Ce travail de thèse traite de la modélisation et du contrôle des maladies infectieuses à l’aide des automates cellulaires. Nous nous sommes d’abord focalisés sur… (more)

▼

Ce travail de thèse traite de la modélisation et du contrôle des maladies infectieuses à l’aide des automates cellulaires. Nous nous sommes d’abord focalisés sur l’étude d’un modèle de type SEIR. Nous avons pu monter d’une part qu’un voisinage fixe pouvait entrainer une sous-évaluation de l’incidence et de la prévalence et d’autre part que sa structure a un impact direct sur la structure de la distribution de la maladie. Nous nous sommes intéressés également la propagation des maladies vectorielles à travers un modèle de type SIRS-SI multi-hôtes dans un environnement hétérogène.Les hôtes y étaient caractérisés par leur niveau de compétence et l’environnement par la variation du taux de reproduction et de mortalité. Son application à la maladie de Chagas, nous a permis de montrer que l’hétérogénéité de l’habitat et la diversité des hôtes contribuaient à faire baisser l’infection. Cependant l’un des principaux résultats de notre travail à été la formulation du nombre de reproduction spatiale grâce à deux matrices qui représentent les coefficients d’interactions entre les différentes cellules du réseau.

This PhD thesis considers the general problem of epidemiological modelling and control using cellular automata approach.We first focused on the study of the SEIR model. On the one hand, we have shown that the traditionnal neighborhood contribute to underestimate the incidence and prevalence of infection disease. On the other hand, it appeared that the spatial distribution of the cells in the lattice have a real impact on the disease spreading. The second study concerns the transmission of the vector-borne disease in heterogeneous landscape with host community. We considered a SIRS-SI with various level of competence at witch the environnment heterogeneity has been characterized by the variation of the birth flow and the death rate. We simulated the Chagas disease spreading and shown that the heterogeneity of habitat and host diversity contribute to decrease the infection. One of the most important results of our work, was the proposition of the spatial reproduction number expression based on two matrices that represent the interaction factors between the cells in the lattice.

Advisors/Committee Members: El Yacoubi, Samira (thesis director).

Subjects/Keywords: Epidémiologie mathématique; Modélisation; Automate cellulaire; Nombre de base de reproduction; Contrôle; Mathematical epidemiology; Modelling; Cellular automata; Basic reproduction number; Control; 511.8

Record Details Similar Records Cite « Share

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Cisse, B. (2015). Automates cellulaires pour la modélisation et le contrôle en épidémiologie : Cellular automata for modeling and control in epidemiology. (Doctoral Dissertation). Perpignan. Retrieved from http://www.theses.fr/2015PERP0011

Chicago Manual of Style (16^th Edition):

Cisse, Baki. “Automates cellulaires pour la modélisation et le contrôle en épidémiologie : Cellular automata for modeling and control in epidemiology.” 2015. Doctoral Dissertation, Perpignan. Accessed January 24, 2021. http://www.theses.fr/2015PERP0011.

MLA Handbook (7^th Edition):

Cisse, Baki. “Automates cellulaires pour la modélisation et le contrôle en épidémiologie : Cellular automata for modeling and control in epidemiology.” 2015. Web. 24 Jan 2021.

Vancouver:

Cisse B. Automates cellulaires pour la modélisation et le contrôle en épidémiologie : Cellular automata for modeling and control in epidemiology. [Internet] [Doctoral dissertation]. Perpignan; 2015. [cited 2021 Jan 24]. Available from: http://www.theses.fr/2015PERP0011.

Council of Science Editors:

Cisse B. Automates cellulaires pour la modélisation et le contrôle en épidémiologie : Cellular automata for modeling and control in epidemiology. [Doctoral Dissertation]. Perpignan; 2015. Available from: http://www.theses.fr/2015PERP0011

RMIT University

10. Dunn, J. The mathematical epidemiology of human babesiosis in the north-eastern united states.

Degree: 2014, RMIT University

URL: http://researchbank.rmit.edu.au/view/rmit:160817

► Human babesiosis, spread by the Babesia microti pathogen, is an emerging vector-borne disease transmitted by the Ixodes scapularis tick in the United States. The number… (more)

▼ Human babesiosis, spread by the Babesia microti pathogen, is an emerging vector-borne disease transmitted by the Ixodes scapularis tick in the United States. The number of babesiosis cases has been increasing leading to the classification as an â€œemerging health risk" by the Center for Disease Control. The reasons for emergence remain largely unknown. This thesis presents multi-host, multi-pathogen mechanistic models that explain the zoonotic emergence and persistence of human babesiosis and the Babesia microti pathogen in the United States. A model for the basic reproduction number,R0, and a compartment-type model, combine the seasonal dynamics of tick phenology and within host dynamics in the vertebrate host to identify the key factors that determine emergence and persistence of the Babesia microti pathogen and hence human Babesiosis. It is found that survival of the immature life-stage of the Ixodes scapularis tick, the probability of feeding on the primary vertebrate host (the white-footed mouse, Peromyscus leucopus) and interactions among pathogens, particularly coinfection with Borrelia burgdorferi the causative agent of Lyme disease, in multiply infected hosts can strongly influence emergence. Successful transmission of Babesia microti from one generation of ticks to the next is linked to overlap between the host-seeking activities of the larval and nymphal life-stages of the tick vector, and co-aggregationÂ of these life-stages on white-footed mouse. This contrasts with other vector-borne pathogens where it is typically the abundance of the vector or host, the vector-to-host ratio or the biting rate that are the factors which determine conditions for emergence. The mechanistic models derived in this work are transparent and almost all parameters can be measured directly by laboratory or field studies. Such data are used in this thesis to define ecological conditions for the emergence of Babesia microti and to explore the variation between an island site and a mainland site in the north-eastern United States.

Subjects/Keywords: Fields of Research; Basic reproduction number; Compartmental model; Global sensitivity analysis; Babesia microti; Lyme disease; Co-aggregation; Coinfection; Emergence

Record Details Similar Records Cite « Share

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Dunn, J. (2014). The mathematical epidemiology of human babesiosis in the north-eastern united states. (Thesis). RMIT University. Retrieved from http://researchbank.rmit.edu.au/view/rmit:160817

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Dunn, J. “The mathematical epidemiology of human babesiosis in the north-eastern united states.” 2014. Thesis, RMIT University. Accessed January 24, 2021. http://researchbank.rmit.edu.au/view/rmit:160817.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Dunn, J. “The mathematical epidemiology of human babesiosis in the north-eastern united states.” 2014. Web. 24 Jan 2021.

Vancouver:

Dunn J. The mathematical epidemiology of human babesiosis in the north-eastern united states. [Internet] [Thesis]. RMIT University; 2014. [cited 2021 Jan 24]. Available from: http://researchbank.rmit.edu.au/view/rmit:160817.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Dunn J. The mathematical epidemiology of human babesiosis in the north-eastern united states. [Thesis]. RMIT University; 2014. Available from: http://researchbank.rmit.edu.au/view/rmit:160817

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

11. Silva, Daniel Rodrigues da. Um modelo matemático para avaliação do impacto da temperatura na evolução da virulência.

Degree: PhD, Patologia, 2010, University of São Paulo

URL: http://www.teses.usp.br/teses/disponiveis/5/5144/tde-22122010-095146/ ;

►

O fenômeno do aumento global da temperatura é uma realidade inquestionável. Tendo em vista tal cenário, acredita-se que haverá uma expansão geográfica (migração de populações… (more)

▼

O fenômeno do aumento global da temperatura é uma realidade inquestionável. Tendo em vista tal cenário, acredita-se que haverá uma expansão geográfica (migração de populações humanas) e um aumento na incidência de infecções tropicais. No entanto, a tendência de aumento da severidade destas infecções como função do aumento da temperatura ainda é desconhecida. Suponha que duas cepas de um dado parasita estejam competindo pelo mesmo hospedeiro. É possível mostrar que, em geral, a cepa com uma estratégia evolu- cionária estável, isto é, aquela que vence a competição, é aquela com maior valor de reprodutibilidade basal. Queremos saber quais combinações de temperatura ambiental T e virulência V maximizam Ro(T, V). Para isto calculamos o plano tangente ao ponto máximo (ou a uma região de máximo) e analisamos as respectivas curvas de nível. Para tanto, calculamos o seguinte sistema de equações diferenciais: ?Ro/?T = 0 ; ?Ro/?V = 0 (1). Agora, consideremos o caso de uma infecção transmitida por um vetor. De- monstramos que, neste caso, o aumento na Virulência do parasita está associada ao aumento na Temperatura. Esta hipótese é embasada por evidências empíricas de dengue hemorrágica em Singapura que vem aumentando sua virulência à medida em que há um aumento observado da temperatura local nos últimos anos.

The phenomenon of global increase of the temperature is reality unquestionable. In this case, it is expected that the increase in the global temperature will lead to an expansion of the geographical spread and to an increase in the incidence of tropical infections. However, the trend in severity of those infections as a function of the increase in the temperature is still unknown. Suppose that two strains of a given parasite are competing for the same host. It is possible to demonstrate that, in general, the strain with an evolutionary stable strategy, that is, the one that wins the competition, is the one with the highest value of R 0. We want to know which combination of environmental temperature T and virulence V maximizes R 0( V ). For this we calculate the tangent plane to the maximum point, that is ?Ro/?T=0 ; ?Ro/?V=0 (2) Now, let us consider the case of a vector-borne infection. We demonstrate, in this case, that the increase in temperature is associated with an increase in the parasite virulence. This hypothesis is supported by empirical evidence from dengue hemorrhagic fever in Singapore, which is increasing its virulence along with the increase in the local temperature observed in the last years.

Advisors/Committee Members: Massad, Eduardo.

Subjects/Keywords: basic reproduction number; Computer simulation; Mathematical models; Modelos matemáticos; Número básico de reprodução; Simulação por computador; Temperatura ambiente; Temperature; Virulence; Virulência

Record Details Similar Records Cite « Share

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Silva, D. R. d. (2010). Um modelo matemático para avaliação do impacto da temperatura na evolução da virulência. (Doctoral Dissertation). University of São Paulo. Retrieved from http://www.teses.usp.br/teses/disponiveis/5/5144/tde-22122010-095146/ ;

Chicago Manual of Style (16^th Edition):

Silva, Daniel Rodrigues da. “Um modelo matemático para avaliação do impacto da temperatura na evolução da virulência.” 2010. Doctoral Dissertation, University of São Paulo. Accessed January 24, 2021. http://www.teses.usp.br/teses/disponiveis/5/5144/tde-22122010-095146/ ;.

MLA Handbook (7^th Edition):

Silva, Daniel Rodrigues da. “Um modelo matemático para avaliação do impacto da temperatura na evolução da virulência.” 2010. Web. 24 Jan 2021.

Vancouver:

Silva DRd. Um modelo matemático para avaliação do impacto da temperatura na evolução da virulência. [Internet] [Doctoral dissertation]. University of São Paulo; 2010. [cited 2021 Jan 24]. Available from: http://www.teses.usp.br/teses/disponiveis/5/5144/tde-22122010-095146/ ;.

Council of Science Editors:

Silva DRd. Um modelo matemático para avaliação do impacto da temperatura na evolução da virulência. [Doctoral Dissertation]. University of São Paulo; 2010. Available from: http://www.teses.usp.br/teses/disponiveis/5/5144/tde-22122010-095146/ ;

University of the Western Cape

12. Mukhtar, Abdulaziz. Y.A. Mathematical modeling of population dynamics of HIV with antiretroviral treatment and herbal medicine .

Degree: 2014, University of the Western Cape

URL: http://hdl.handle.net/11394/3351

► Herbal medicines have been an important part of health and wellness for hundreds of years. Recently the World Health Organization estimated that 80% of people… (more)

▼ Herbal medicines have been an important part of health and wellness for hundreds of years. Recently the World Health Organization estimated that 80% of people worldwide rely on herbal medicines. Herbs contain many substances that are good for protecting the body and are therefore used in the treatment of various illnesses. Along with traditional medicines, herbs are often used in the treatment of chronic diseases such as rheumatism, migraine, chronic fatigue, asthma, eczema, and irritable bowel syndrome, among others. Herbal medicines are also applied in certain traditional communities as treatment against infectious diseases such as flu, malaria, measles, and even human immunodeficiency virus HIV-infection. Approximately 34 million people are currently infected with the human immunodeficiency virus (HIV) and 2.5 million newly infected. Therefore, HIV has become one of the major public health problems worldwide. It is important to understand the impact of herbal medicines used on HIV/AIDS. Mathematical models enable us to make predictions about the qualitative behaviour of disease outbreaks and evaluation of the impact of prevention or intervention strategies. In this dissertation we explore mathematical models for studying the effect of usage of herbal medicines on HIV. In particular we analyze a mathematical model for population dynamics of HIV/AIDS. The latter will include the impact of herbal medicines and traditional healing methods. The HIV model exhibits two steady states; a trivial steady state (HIV-infection free population) and a non-trivial steady state (persistence of HIV infection). We investigate the local asymptotic stability of the deterministic epidemic model and similar properties in terms of the basic reproduction number. Furthermore, we investigate for optimal control strategies. We study a stochastic version of the deterministic model by introducing white noise and show that this model has a unique global positive solution. We also study computationally the stochastic stability of the white noise perturbation model. Finally, qualitative results are illustrated by means of numerical simulations. Some articles from the literature that feature prominently in this dissertation are [14] of Cai et al, [10] of Bhunu et al., [86] of Van den Driessche and Watmough, [64] of Naresh et al., Through the study in this dissertation, we have prepared a research paper [1], jointly with the supervisors to be submitted for publication in an accredited journal. The author of this dissertation also contributed to the research paper [2], which close to completion. 1. Abdulaziz Y.A. Mukhtar, Peter J. Witbooi and Gail D. Hughes. A mathematical model for population dynamics of HIV with ARV and herbal medicine. 2. P.J. Witbooi, T. Seatlhodi, A.Y.A. Mukhtar, E. Mwambene. Mathematical modeling of HIV/AIDS with recruitment of infecteds. Advisors/Committee Members: Witbooi, Peter J (advisor).

Subjects/Keywords: HIV/AIDS; Compartmental model; Epidemiology; Chemotherapy; Herbal medicines; Differential equations; Stochastic differential equations; Basic reproduction number; Stability; Optimal control; Numerical simulation

Record Details Similar Records Cite « Share

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Mukhtar, A. Y. A. (2014). Mathematical modeling of population dynamics of HIV with antiretroviral treatment and herbal medicine . (Thesis). University of the Western Cape. Retrieved from http://hdl.handle.net/11394/3351

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Mukhtar, Abdulaziz Y A. “Mathematical modeling of population dynamics of HIV with antiretroviral treatment and herbal medicine .” 2014. Thesis, University of the Western Cape. Accessed January 24, 2021. http://hdl.handle.net/11394/3351.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Mukhtar, Abdulaziz Y A. “Mathematical modeling of population dynamics of HIV with antiretroviral treatment and herbal medicine .” 2014. Web. 24 Jan 2021.

Vancouver:

Mukhtar AYA. Mathematical modeling of population dynamics of HIV with antiretroviral treatment and herbal medicine . [Internet] [Thesis]. University of the Western Cape; 2014. [cited 2021 Jan 24]. Available from: http://hdl.handle.net/11394/3351.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Mukhtar AYA. Mathematical modeling of population dynamics of HIV with antiretroviral treatment and herbal medicine . [Thesis]. University of the Western Cape; 2014. Available from: http://hdl.handle.net/11394/3351

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of the Western Cape

13. Vyambwera, Sibaliwe Maku. Mathematical modelling of the HIV/AIDS epidemic and the effect of public health education .

Degree: 2014, University of the Western Cape

URL: http://hdl.handle.net/11394/3360

► HIV/AIDS is nowadays considered as the greatest public health disaster of modern time. Its progression has challenged the global population for decades. Through mathematical modelling,… (more)

▼ HIV/AIDS is nowadays considered as the greatest public health disaster of modern time. Its progression has challenged the global population for decades. Through mathematical modelling, researchers have studied different interventions on the HIV pandemic, such as treatment, education, condom use, etc. Our research focuses on different compartmental models with emphasis on the effect of public health education. From the point of view of statistics, it is well known how the public health educational programs contribute towards the reduction of the spread of HIV/AIDS epidemic. Many models have been studied towards understanding the dynamics of the HIV/AIDS epidemic. The impact of ARV treatment have been observed and analysed by many researchers. Our research studies and investigates a compartmental model of HIV with treatment and education campaign. We study the existence of equilibrium points and their stability. Original contributions of this dissertation are the modifications on the model of Cai et al. [1], which enables us to use optimal control theory to identify optimal roll-out of strategies to control the HIV/AIDS. Furthermore, we introduce randomness into the model and we study the almost sure exponential stability of the disease free equilibrium. The randomness is regarded as environmental perturbations in the system. Another contribution is the global stability analysis on the model of Nyabadza et al. in [3]. The stability thresholds are compared for the HIV/AIDS in the absence of any intervention to assess the possible community benefit of public health educational campaigns. We illustrate the results by way simulation The following papers form the basis of much of the content of this dissertation, [1 ] L. Cai, Xuezhi Li, Mini Ghosh, Boazhu Guo. Stability analysis of an HIV/AIDS epidemic model with treatment, 229 (2009) 313-323. [2 ] C.P. Bhunu, S. Mushayabasa, H. Kojouharov, J.M. Tchuenche. Mathematical Analysis of an HIV/AIDS Model: Impact of Educational Programs and Abstinence in Sub-Saharan Africa. J Math Model Algor 10 (2011),31-55. [3 ] F. Nyabadza, C. Chiyaka, Z. Mukandavire, S.D. Hove-Musekwa. Analysis of an HIV/AIDS model with public-health information campaigns and individual with-drawal. Journal of Biological Systems, 18, 2 (2010) 357-375. Through this dissertation the author has contributed to two manuscripts [4] and [5], which are currently under review towards publication in journals, [4 ] G. Abiodun, S. Maku Vyambwera, N. Marcus, K. Okosun, P. Witbooi. Control and sensitivity of an HIV model with public health education (under submission). [5 ] P.Witbooi, M. Nsuami, S. Maku Vyambwera. Stability of a stochastic model of HIV population dynamics (under submission). Advisors/Committee Members: Witbooi, Peter J (advisor).

Subjects/Keywords: Disease-free equilibrium; Endemic equilibrium; Basic reproduction number; Local and global stability; Sensitivity; Optimal control; Stochastic model; Almost sure exponential stability

Record Details Similar Records Cite « Share

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Vyambwera, S. M. (2014). Mathematical modelling of the HIV/AIDS epidemic and the effect of public health education . (Thesis). University of the Western Cape. Retrieved from http://hdl.handle.net/11394/3360

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Vyambwera, Sibaliwe Maku. “Mathematical modelling of the HIV/AIDS epidemic and the effect of public health education .” 2014. Thesis, University of the Western Cape. Accessed January 24, 2021. http://hdl.handle.net/11394/3360.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Vyambwera, Sibaliwe Maku. “Mathematical modelling of the HIV/AIDS epidemic and the effect of public health education .” 2014. Web. 24 Jan 2021.

Vancouver:

Vyambwera SM. Mathematical modelling of the HIV/AIDS epidemic and the effect of public health education . [Internet] [Thesis]. University of the Western Cape; 2014. [cited 2021 Jan 24]. Available from: http://hdl.handle.net/11394/3360.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Vyambwera SM. Mathematical modelling of the HIV/AIDS epidemic and the effect of public health education . [Thesis]. University of the Western Cape; 2014. Available from: http://hdl.handle.net/11394/3360

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of the Western Cape

14. Ahmed, Ibrahim H.I. Mathematical modeling of an epidemic under vaccination in two interacting populations .

Degree: 2011, University of the Western Cape

URL: http://hdl.handle.net/11394/1569

► In this dissertation we present the quantitative response of an epidemic of the so-called SIR-type, in a population consisting of a local component and a… (more)

▼ In this dissertation we present the quantitative response of an epidemic of the so-called SIR-type, in a population consisting of a local component and a migrant component. Each component can be divided into three classes, the susceptible individuals, usually denoted by S, who are uninfected but may contract the disease, infected individuals (I) who are infected and can spread the disease to the susceptible individuals and the class (R) of recovered individuals. If a susceptible individual becomes infected, it moves into the infected class. An infected individual, at recovery, moves to the class R. Firstly we develop a model describing two interacting populations with vaccination. Assuming the vaccination rate in both groups or components are constant, we calculate a threshold parameter and we call it a vaccination reproductive number. This invariant determines whether the disease will die out or becomes endemic on the (in particular, local) population. Then we present the stability analysis of equilibrium points and the effect of vaccination. Our primary finding is that the behaviour of the disease free equilibrium depend on the vaccination rates of the combined population. We show that the disease free equilibrium is locally asymptotically stable if the vaccination reproductive number is less than one. Also our stability analysis show that the global stability of the disease free equilibrium depends on the basic reproduction number, not the vaccination reproductive number. If the vaccination reproductive number is greater than one, then the disease free equilibrium is unstable and there exists three endemic equilibrium points in our model. Two of these three endemic equilibria are so-called boundary equilibrium points, which means that the infection is only in one group of the population. The third one which we focus on is the general endemic point for the whole system. We derive a threshold condition that determines whether the endemic equilibria is locally asymptotically stable or not. Secondly, by assuming that the rate of vaccination in the migrant population is constant, we apply optimal control theory to find an optimal vaccination strategy in the local population. Our numerical simulation shows the effectiveness of the control strategy. This model is suitable for modeling the real life situation to control many communicable diseases. Models similar to the model used in the main contribution of our dissertation do exist in the literature. In fact, our model can be regarded as being in-between those of [Jia et al., Theoretical Population Biology 73 (2008) 437-448] and [Piccolo and Billings, Mathematical and Computer Modeling 42 (2005) 291-299]. Nevertheless our stability analysis is original, and furthermore we perform an optimal control study whereas the two cited papers do not. The essence of chapter 5 and 6 of this dissertation is being prepared for publication. Advisors/Committee Members: Witbooi, Peter J (advisor).

Subjects/Keywords: Epidemiology modeling; Local population; Migrant population; Local stability; Global stability; Basic reproduction number; Vaccination; Vaccination reproductive number; Optimal control; Numerical simulation; SIR

Record Details Similar Records Cite « Share

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Ahmed, I. H. I. (2011). Mathematical modeling of an epidemic under vaccination in two interacting populations . (Thesis). University of the Western Cape. Retrieved from http://hdl.handle.net/11394/1569

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Ahmed, Ibrahim H I. “Mathematical modeling of an epidemic under vaccination in two interacting populations .” 2011. Thesis, University of the Western Cape. Accessed January 24, 2021. http://hdl.handle.net/11394/1569.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Ahmed, Ibrahim H I. “Mathematical modeling of an epidemic under vaccination in two interacting populations .” 2011. Web. 24 Jan 2021.

Vancouver:

Ahmed IHI. Mathematical modeling of an epidemic under vaccination in two interacting populations . [Internet] [Thesis]. University of the Western Cape; 2011. [cited 2021 Jan 24]. Available from: http://hdl.handle.net/11394/1569.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Ahmed IHI. Mathematical modeling of an epidemic under vaccination in two interacting populations . [Thesis]. University of the Western Cape; 2011. Available from: http://hdl.handle.net/11394/1569

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of Manitoba

15. Podder, Chandra Nath. Mathematics of HSV-2 Dynamics.

Degree: Mathematics, 2010, University of Manitoba

URL: http://hdl.handle.net/1993/4082

► The thesis is based on using dynamical systems theories and techniques to study the qualitative dynamics of herpes simplex virus type 2 (HSV-2), a sexually-transmitted… (more)

▼ The thesis is based on using dynamical systems theories and techniques to study the qualitative dynamics of herpes simplex virus type 2 (HSV-2), a sexually-transmitted disease of major public health significance. A deterministic model for the interaction of the virus with the immune system in the body of an infected individual (in vivo) is designed first of all. It is shown, using Lyapunov function and LaSalle's Invariance Principle, that the virus-free equilibrium of the model is globally-asymptotically stable whenever a certain biological threshold, known as the reproduction number, is less than unity. Furthermore, the model has at least one virus-present equilibrium when the threshold quantity exceeds unity. Using persistence theory, it is shown that the virus will always be present in vivo whenever the reproduction threshold exceeds unity. The analyses (theoretical and numerical) of this model show that a future HSV-2 vaccine that enhances cell-mediated immune response will be effective in curtailling HSV-2 burden in vivo. A new single-group model for the spread of HSV-2 in a homogenously-mixed sexually-active population is also designed. The disease-free equilibrium of the model is globally-asymptotically stable when its associated reproduction number is less than unity. The model has a unique endemic equilibrium, which is shown to be globally-stable for a special case, when the reproduction number exceeds unity. The model is extended to incorporate an imperfect vaccine with some therapeutic benefits. Using centre manifold theory, it is shown that the resulting vaccination model undergoes a vaccine-induced backward bifurcation (the epidemiological importance of the phenomenon of backward bifurcation is that the classical requirement of having the reproduction threshold less than unity is, although necessary, no longer sufficient for disease elimination. In such a case, disease elimination depends upon the initial sizes of the sub-populations of the model). Furthermore, it is shown that the use of such an imperfect vaccine could lead to a positive or detrimental population-level impact (depending on the sign of a certain threshold quantity). The model is extended to incorporate the effect of variability in HSV-2 susceptibility due to gender differences. The resulting two-group (sex-structured) model is shown to have essentially the same qualitative dynamics as the single-group model. Furthermore, it is shown that adding periodicity to the corresponding autonomous two-group model does not alter the dynamics of the autonomous two-group model (with respect to the elimination of the disease). The model is used to evaluate the impact of various anti-HSV control strategies. Finally, the two-group model is further extended to address the effect of risk structure (i.e., risk of acquiring or transmitting HSV-2). Unlike the two-group model described above, it is shown that the risk-structured model undergoes backward bifurcation under certain conditions (the backward bifurcation property can be… Advisors/Committee Members: Gumel, Abba (Mathematics) (supervisor), Lui, Shaun (Mathematics), Williams, Joseph (Mathematics), Shamseddine, Khodr (Physics and Astronomy), Castillo-Chavez, Carlos (Arizona State University) (examiningcommittee).

Subjects/Keywords: Epidemiology; Mathematical Modeling; Disease-free Equilibrium; Local Stability; Global Stability; Basic Reproduction Number; Endemic Equilibrium; Lyapunov Function; Centre Manifold Theory; Backward Bifurcation

Record Details Similar Records Cite « Share

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Podder, C. N. (2010). Mathematics of HSV-2 Dynamics. (Thesis). University of Manitoba. Retrieved from http://hdl.handle.net/1993/4082

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Podder, Chandra Nath. “Mathematics of HSV-2 Dynamics.” 2010. Thesis, University of Manitoba. Accessed January 24, 2021. http://hdl.handle.net/1993/4082.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Podder, Chandra Nath. “Mathematics of HSV-2 Dynamics.” 2010. Web. 24 Jan 2021.

Vancouver:

Podder CN. Mathematics of HSV-2 Dynamics. [Internet] [Thesis]. University of Manitoba; 2010. [cited 2021 Jan 24]. Available from: http://hdl.handle.net/1993/4082.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Podder CN. Mathematics of HSV-2 Dynamics. [Thesis]. University of Manitoba; 2010. Available from: http://hdl.handle.net/1993/4082

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

East Tennessee State University

16. Numfor, Eric Shu. Mathematical Modeling, Simulation, and Time Series Analysis of Seasonal Epidemics.

Degree: MS, Mathematical Sciences, 2010, East Tennessee State University

URL: https://dc.etsu.edu/etd/1745

► Seasonal and non-seasonal Susceptible-Exposed-Infective-Recovered-Susceptible (SEIRS) models are formulated and analyzed. It is proved that the disease-free steady state of the non-seasonal model is locally… (more)

Subjects/Keywords: Epidemics; Basic reproduction number; Seasonality; Vaccination; Epidemiology; Medicine and Health Sciences; Public Health

Record Details Similar Records Cite « Share

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Numfor, E. S. (2010). Mathematical Modeling, Simulation, and Time Series Analysis of Seasonal Epidemics. (Thesis). East Tennessee State University. Retrieved from https://dc.etsu.edu/etd/1745

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Numfor, Eric Shu. “Mathematical Modeling, Simulation, and Time Series Analysis of Seasonal Epidemics.” 2010. Thesis, East Tennessee State University. Accessed January 24, 2021. https://dc.etsu.edu/etd/1745.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Numfor, Eric Shu. “Mathematical Modeling, Simulation, and Time Series Analysis of Seasonal Epidemics.” 2010. Web. 24 Jan 2021.

Vancouver:

Numfor ES. Mathematical Modeling, Simulation, and Time Series Analysis of Seasonal Epidemics. [Internet] [Thesis]. East Tennessee State University; 2010. [cited 2021 Jan 24]. Available from: https://dc.etsu.edu/etd/1745.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Numfor ES. Mathematical Modeling, Simulation, and Time Series Analysis of Seasonal Epidemics. [Thesis]. East Tennessee State University; 2010. Available from: https://dc.etsu.edu/etd/1745

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

17. Mraidi, Ramzi. Modélisation et contrôle de la transmission du virus de la maladie de Newcastle dans les élevages aviaires familiaux de Madagascar : Modeling and control of the transmission of Newcastle disease virus in Malagasy smallholder chicken farms.

Degree: Docteur es, Mathématiques appliquées, 2014, Université de la Réunion

URL: http://www.theses.fr/2014LARE0014

►

La maladie de Newcastle (MN) grève lourdement les productions aviaires malgaches, essentielles à l'alimentation et à l'économie familiales. La MN est une dominante pathologique en… (more)

▼

La maladie de Newcastle (MN) grève lourdement les productions aviaires malgaches, essentielles à l'alimentation et à l'économie familiales. La MN est une dominante pathologique en l'absence de vaccination généralisée. L'objectif de cette thèse est la modélisation, la validation et l'analyse mathématique de modèles de transmission du virus de la MN (VMN) dans les systèmes avicoles villageois en général et à Madagascar en particulier. Nous proposons de nouveaux modèles basés sur les connaissances actuelles de l'histoire naturelle de la transmission du VMN. Ainsi, nous présentons deux modèles mathématiques à compartiments de la transmission du VMN dans une population de poules : un premier modèle avec transmission environnementale et un deuxième modèle où la vaccination contre la maladie est prise en compte. Nous présentons une analyse complète de la stabilité de ces modèles à l'aide des techniques de Lyapunov suivant la valeur du taux de reproduction de base R0. Le travail s'est appuyé sur des enquêtes de terrain pour comprendre les pratiques de vaccination actuelles à Madagascar.

Newcastle disease (ND) severely harms Malagasy bird productions, mainly uses to food and family economy. ND is a pathological dominant without general vaccination. The objective of this thesis is modelling the transmission of ND virus (NDV) in smallholder chicken farms in general and, Madagascar in particular. We propose new models based on the state of art and the epidemiology currently known from the transmission of the NDV. Thus, we present two models of the transmission of NDV: a first model with environmental transmission and a second model in which imperfect vaccination of chickens is considered. We present a thorough analysis of the stability of the models using the Lyapunov techniques and obtain the basic reproduction ratio R0. This work is based on field surveys to understand the current vaccination practices in Madagascar.

Advisors/Committee Members: Cardinale, Éric (thesis director), Michel, Virginie (thesis director), Lancelot, Renaud (thesis director).

Subjects/Keywords: Modélisation; Systèmes dynamiques non linéaires; Méthode de Lyapunov; Nombre de reproduction de base R0; Stabilité globale; Modèles épidémiologiques; Maladie de Newcastle; Madagascar; Modelling; Nonlinear dynamical system; Lyapunov methods; Basic reproduction number R0; Global stability; Epidemiological models; Newcastle disease; Madagascar

Record Details Similar Records Cite « Share

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Mraidi, R. (2014). Modélisation et contrôle de la transmission du virus de la maladie de Newcastle dans les élevages aviaires familiaux de Madagascar : Modeling and control of the transmission of Newcastle disease virus in Malagasy smallholder chicken farms. (Doctoral Dissertation). Université de la Réunion. Retrieved from http://www.theses.fr/2014LARE0014

Chicago Manual of Style (16^th Edition):

Mraidi, Ramzi. “Modélisation et contrôle de la transmission du virus de la maladie de Newcastle dans les élevages aviaires familiaux de Madagascar : Modeling and control of the transmission of Newcastle disease virus in Malagasy smallholder chicken farms.” 2014. Doctoral Dissertation, Université de la Réunion. Accessed January 24, 2021. http://www.theses.fr/2014LARE0014.

MLA Handbook (7^th Edition):

Mraidi, Ramzi. “Modélisation et contrôle de la transmission du virus de la maladie de Newcastle dans les élevages aviaires familiaux de Madagascar : Modeling and control of the transmission of Newcastle disease virus in Malagasy smallholder chicken farms.” 2014. Web. 24 Jan 2021.

Vancouver:

Mraidi R. Modélisation et contrôle de la transmission du virus de la maladie de Newcastle dans les élevages aviaires familiaux de Madagascar : Modeling and control of the transmission of Newcastle disease virus in Malagasy smallholder chicken farms. [Internet] [Doctoral dissertation]. Université de la Réunion; 2014. [cited 2021 Jan 24]. Available from: http://www.theses.fr/2014LARE0014.

Council of Science Editors:

Mraidi R. Modélisation et contrôle de la transmission du virus de la maladie de Newcastle dans les élevages aviaires familiaux de Madagascar : Modeling and control of the transmission of Newcastle disease virus in Malagasy smallholder chicken farms. [Doctoral Dissertation]. Université de la Réunion; 2014. Available from: http://www.theses.fr/2014LARE0014

18. Asaduzzaman, S M. Mathematical models to investigate the relationship between cross-immunity and replacement of influenza subtypes.

Degree: Department of Mathematics and Statistics, 2018, University of Victoria

URL: https://dspace.library.uvic.ca//handle/1828/8951

► A pandemic subtype of influenza A sometimes replaces (e.g., in 1918, 1957, 1968) but sometimes coexists (e.g., in 1977) with the previous seasonal subtype. This… (more)

▼ A pandemic subtype of influenza A sometimes replaces (e.g., in 1918, 1957, 1968) but sometimes coexists (e.g., in 1977) with the previous seasonal subtype. This research aims to determine a condition for replacement or coexistence of influenza subtypes. We formulate a hybrid model for the dynamics of influenza A epidemics taking into account cross-immunity of influenza strains depending on the most recent seasonal infection. A combination of theoretical and numerical analyses shows that for very strong cross-immunity between seasonal and pandemic subtypes, the pandemic cannot invade, whereas for strong and weak cross-immunity there is coexistence, and for intermediate levels of cross-immunity the pandemic may replace the seasonal subtype. Cross-immunity between seasonal strains is also a key factor of our model because it has a major influence on the final size of seasonal epidemics, and on the distribution of susceptibility in the population. To determine this cross-immunity, we design a novel statistical method, which uses a theoretical model and clinical data on attack rates and vaccine efficacy among school children for two seasons after the 1968 A/H3N2 pandemic. This model incorporates the distribution of susceptibility and the dependence of cross-immunity on the antigenic distance of drifted strains. We find that the cross-immunity between an influenza strain and the mutant that causes the next epidemic is 88%. Our method also gives an estimated value 2.15 for the basic reproduction number of the 1968 pandemic influenza. Our hybrid model agrees qualitatively with the observed subtype replacement or coexistence in 1957, 1968 and 1977. However, our model with the homogeneous mixing assumption significantly over estimates the pandemic attack rate. Thus, we modify the model to incorporate heterogeneity in the contact rate of individuals. Using the determined values of cross-immunity and the basic reproduction number, this modification lowers the pandemic attack rate slightly, but it is still higher than the observed attack rates. Advisors/Committee Members: Ma, Junling (supervisor), Van den Driessche, Pauline (supervisor).

Subjects/Keywords: Influenza drift; Influenza pandemic; Cross-immunity; Reproduction number; Vaccine protection; Drift evolution; Basic reproduction number; Seasonal influenza strains; Evolutionary tree

…Chavez et al. (1989) model. Here, Ri is the basic reproduction number of influenza… …after the pandemic. R0 and R0p represent the basic reproduction number of seasonal influenza… …I0 ≪ N is positive and small, and R(0) = 0. The basic reproduction number R0 = αβ… …Castillo-Chavez et al. (1989) model. Here, Ri is the basic reproduction number of… …x28;e.g., cross-immunity, basic reproduction number) found in chapter 3, and provides a…

11 more images…

Record Details Similar Records Cite « Share

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Asaduzzaman, S. M. (2018). Mathematical models to investigate the relationship between cross-immunity and replacement of influenza subtypes. (Thesis). University of Victoria. Retrieved from https://dspace.library.uvic.ca//handle/1828/8951

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Asaduzzaman, S M. “Mathematical models to investigate the relationship between cross-immunity and replacement of influenza subtypes.” 2018. Thesis, University of Victoria. Accessed January 24, 2021. https://dspace.library.uvic.ca//handle/1828/8951.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Asaduzzaman, S M. “Mathematical models to investigate the relationship between cross-immunity and replacement of influenza subtypes.” 2018. Web. 24 Jan 2021.

Vancouver:

Asaduzzaman SM. Mathematical models to investigate the relationship between cross-immunity and replacement of influenza subtypes. [Internet] [Thesis]. University of Victoria; 2018. [cited 2021 Jan 24]. Available from: https://dspace.library.uvic.ca//handle/1828/8951.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Asaduzzaman SM. Mathematical models to investigate the relationship between cross-immunity and replacement of influenza subtypes. [Thesis]. University of Victoria; 2018. Available from: https://dspace.library.uvic.ca//handle/1828/8951

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

19. Schimit, Pedro Henrique Triguis. Modelagem e controle de propagação de epidemias usando autômatos celulares e teoria de jogos.

Degree: PhD, Engenharia de Sistemas, 2010, University of São Paulo

URL: http://www.teses.usp.br/teses/disponiveis/3/3139/tde-05122011-153541/ ;

►

Estuda-se o espalhamento de doenças contagiosas utilizando modelos suscetível-infectado-recuperado (SIR) representados por equações diferenciais ordinárias (EDOs) e por autômatos celulares probabilistas (ACPs) conectados por redes… (more)

▼

Estuda-se o espalhamento de doenças contagiosas utilizando modelos suscetível-infectado-recuperado (SIR) representados por equações diferenciais ordinárias (EDOs) e por autômatos celulares probabilistas (ACPs) conectados por redes aleatórias. Cada indivíduo (célula) do reticulado do ACP sofre a influência de outros, sendo que a probabilidade de ocorrer interação com os mais próximos é maior. Efetuam-se simulações para investigar como a propagação da doença é afetada pela topologia de acoplamento da população. Comparam-se os resultados numéricos obtidos com o modelo baseado em ACPs aleatoriamente conectados com os resultados obtidos com o modelo descrito por EDOs. Conclui-se que considerar a estrutura topológica da população pode dificultar a caracterização da doença, a partir da observação da evolução temporal do número de infectados. Conclui-se também que isolar alguns infectados causa o mesmo efeito do que isolar muitos suscetíveis. Além disso, analisa-se uma estratégia de vacinação com base em teoria dos jogos. Nesse jogo, o governo tenta minimizar os gastos para controlar a epidemia. Como resultado, o governo realiza campanhas quase-periódicas de vacinação.

The spreading of contagious diseases is studied by using susceptible-infected-recovered (SIR) models represented by ordinary differential equations (ODE) and by probabilistic cellular automata (PCA) connected by random networks. Each individual (cell) of the PCA lattice experiences the influence of others, where the probability of occurring interaction with the nearest ones is higher. Simulations for investigating how the disease propagation is affected by the coupling topology of the population are performed. The numerical results obtained with the model based on randomly connected PCA are compared to the results obtained with the model described by ODE. It is concluded that considering the topological structure of the population can pose difficulties for characterizing the disease, from the observation of the time evolution of the number of infected individuals. It is also concluded that isolating a few infected subjects can cause the same effect than isolating many susceptible individuals. Furthermore, a vaccination strategy based on game theory is analyzed. In this game, the government tries to minimize the expenses for controlling the epidemic. As consequence, the government implements quasi-periodic vaccination campaigns.

Advisors/Committee Members: Monteiro, Luiz Henrique Alves.

Subjects/Keywords: Autômatos celulares probabilistas; Basic reproduction number; Epidemiologia; Epidemiology; Equaçes diferenciais ordinárias; Fator de reprodutividade basal; Game theory; Modelo SIR; Ordinary differential equations; Probabilistic cellular automata; Random networks; Redes aleatórias; SIR model; Teoria de jogos

Record Details Similar Records Cite « Share

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Schimit, P. H. T. (2010). Modelagem e controle de propagação de epidemias usando autômatos celulares e teoria de jogos. (Doctoral Dissertation). University of São Paulo. Retrieved from http://www.teses.usp.br/teses/disponiveis/3/3139/tde-05122011-153541/ ;

Chicago Manual of Style (16^th Edition):

Schimit, Pedro Henrique Triguis. “Modelagem e controle de propagação de epidemias usando autômatos celulares e teoria de jogos.” 2010. Doctoral Dissertation, University of São Paulo. Accessed January 24, 2021. http://www.teses.usp.br/teses/disponiveis/3/3139/tde-05122011-153541/ ;.

MLA Handbook (7^th Edition):

Schimit, Pedro Henrique Triguis. “Modelagem e controle de propagação de epidemias usando autômatos celulares e teoria de jogos.” 2010. Web. 24 Jan 2021.

Vancouver:

Schimit PHT. Modelagem e controle de propagação de epidemias usando autômatos celulares e teoria de jogos. [Internet] [Doctoral dissertation]. University of São Paulo; 2010. [cited 2021 Jan 24]. Available from: http://www.teses.usp.br/teses/disponiveis/3/3139/tde-05122011-153541/ ;.

Council of Science Editors:

Schimit PHT. Modelagem e controle de propagação de epidemias usando autômatos celulares e teoria de jogos. [Doctoral Dissertation]. University of São Paulo; 2010. Available from: http://www.teses.usp.br/teses/disponiveis/3/3139/tde-05122011-153541/ ;

RMIT University

20. Johnstone-Robertson, S. Disease emergence and dynamics on biologically motivated contact networks.

Degree: 2017, RMIT University

URL: http://researchbank.rmit.edu.au/view/rmit:162413

► Infectious disease transmission requires that epidemiologically relevant contact occurs between infectious and susceptible individuals. Thus, for mathematical models to accurately predict disease emergence and dynamics… (more)

▼ Infectious disease transmission requires that epidemiologically relevant contact occurs between infectious and susceptible individuals. Thus, for mathematical models to accurately predict disease emergence and dynamics they must incorporate the contact patterns responsible for transmission. In this context, this thesis investigates how the level of contact detail included in an infectious disease model influences its predictions. Three models are considered. The first investigates infections spreading through territorial populations, with potential canine rabies spread in Australian wild dogs a case study. Two factors governing wild dog contacts are considered: geographic distance and heterogeneous wild dog behaviour. Not including spatial constraints results in a model that overestimates the probability of an epidemic and that fails to generate the outcome 'rate of spread'. Conversely, not incorporating heterogeneous dog behaviour results in a model that underestimates the probability an epidemic will occur. The second model investigates tick-borne pathogen spread between ticks and vertebrate hosts. Key features of tick feeding behaviour include: tick aggregation on hosts, co-aggregation of larval and nymphal ticks on the same hosts, and co-feeding. Co-aggregation increases R0. Models failing to incorporate tick co-aggregation will therefore underestimate the likelihood of pathogen emergence, especially in geographic regions and seasons where larval burden is high and for pathogens mainly transmitted during co-feeding. The third model investigates the effect of clustering (triangle and square contact patterns) on the spread of infection through social networks. Clustering reduces R0 and the magnitude of the reduction increases with higher transmission probabilities. Models that fail to incorporate clustering will overestimate the likelihood of disease establishment, especially for highly transmissible diseases. In conclusion, the three disease models collectively reveal model predictions are improved and additional outcomes are generated by the inclusion of realistic host contact patterns. These findings reinforce the value of incorporating biologically-faithful contact patterns into infectious disease models.

Subjects/Keywords: Fields of Research; contact patterns; infectious disease model; basic reproduction number; R0; canine rabies; Australian wild dogs; dingos; dingoes; spatial model; heterogeneity; tick-borne pathogens; aggregation; co-aggregation; co-feeding; clustering; social networks

Record Details Similar Records Cite « Share

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Johnstone-Robertson, S. (2017). Disease emergence and dynamics on biologically motivated contact networks. (Thesis). RMIT University. Retrieved from http://researchbank.rmit.edu.au/view/rmit:162413

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Johnstone-Robertson, S. “Disease emergence and dynamics on biologically motivated contact networks.” 2017. Thesis, RMIT University. Accessed January 24, 2021. http://researchbank.rmit.edu.au/view/rmit:162413.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Johnstone-Robertson, S. “Disease emergence and dynamics on biologically motivated contact networks.” 2017. Web. 24 Jan 2021.

Vancouver:

Johnstone-Robertson S. Disease emergence and dynamics on biologically motivated contact networks. [Internet] [Thesis]. RMIT University; 2017. [cited 2021 Jan 24]. Available from: http://researchbank.rmit.edu.au/view/rmit:162413.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Johnstone-Robertson S. Disease emergence and dynamics on biologically motivated contact networks. [Thesis]. RMIT University; 2017. Available from: http://researchbank.rmit.edu.au/view/rmit:162413

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

21. Gao, Daozhou. Transmission Dynamics of Some Epidemiological Patch Models.

Degree: PhD, Mathematics (Arts and Sciences), 2012, University of Miami

URL: https://scholarlyrepository.miami.edu/oa_dissertations/763

► As we known, infectious diseases can be transmitted from one region to another due to extensive travel and migration. Meanwhile, different regions have different demographic… (more)

Subjects/Keywords: mathematical epidemiology; patch model; malaria; basic reproduction number; persistence; Rift Valley fever

…2.3.2 The Basic Reproduction Number . . . . . . . . . . . . . . . . 2.3.3 Uniform Persistence… …this chapter is as follows. In Section 2, the basic reproduction number R0 is deﬁned and it… …x28;0)}. 1.2.1 Basic Reproduction Number Let the right hand side of (1.1.2… …the disease-free equilibrium. Now, we calculate the basic reproduction number of (1.1.2… …the basic reproduction number is R0 = ρ(F V −1 ), where ρ denotes the spectral…

Record Details Similar Records Cite « Share

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Gao, D. (2012). Transmission Dynamics of Some Epidemiological Patch Models. (Doctoral Dissertation). University of Miami. Retrieved from https://scholarlyrepository.miami.edu/oa_dissertations/763

Chicago Manual of Style (16^th Edition):

Gao, Daozhou. “Transmission Dynamics of Some Epidemiological Patch Models.” 2012. Doctoral Dissertation, University of Miami. Accessed January 24, 2021. https://scholarlyrepository.miami.edu/oa_dissertations/763.

MLA Handbook (7^th Edition):

Gao, Daozhou. “Transmission Dynamics of Some Epidemiological Patch Models.” 2012. Web. 24 Jan 2021.

Vancouver:

Gao D. Transmission Dynamics of Some Epidemiological Patch Models. [Internet] [Doctoral dissertation]. University of Miami; 2012. [cited 2021 Jan 24]. Available from: https://scholarlyrepository.miami.edu/oa_dissertations/763.

Council of Science Editors:

Gao D. Transmission Dynamics of Some Epidemiological Patch Models. [Doctoral Dissertation]. University of Miami; 2012. Available from: https://scholarlyrepository.miami.edu/oa_dissertations/763

University of Western Ontario

22. Lai, Xiulan. Study of Virus Dynamics by Mathematical Models.

Degree: 2014, University of Western Ontario

URL: https://ir.lib.uwo.ca/etd/1978

► This thesis studies virus dynamics within host by mathematical models, and topics discussed include viral release strategies, viral spreading mechanism, and interaction of virus with… (more)

▼ This thesis studies virus dynamics within host by mathematical models, and topics discussed include viral release strategies, viral spreading mechanism, and interaction of virus with the immune system. Firstly, we propose a delay differential equation model with distributed delay to investigate the evolutionary competition between budding and lytic viral release strategies. We find that when antibody is not established, the dynamics of competition depends on the respective basic reproduction numbers of the two viruses. If the basic reproductive ratio of budding virus is greater than that of lytic virus and one, budding virus can survive. When antibody is established for both strains but the neutralization capacities are the same for both strains, consequence of the competition also depends only on the basic reproduction numbers of the budding and lytic viruses. Using two concrete forms of the viral production functions, we are also able to conclude that budding virus will outcompete if the rates of viral production, death rates of infected cells and neutralizing capacities of the antibodies are the same for budding and lytic viruses. In this case, budding strategy would have evolutionary advantage. However, if the antibody neutralization capacity for the budding virus is larger than that for the lytic virus, lytic virus can outcompete provided that its reproductive ratio is very high. An explicit threshold is derived. Secondly, we consider model containing two modes for viral infection and spread, one is the diffusion-limited free virus transmission and the other is the direct cell-to-cell transfer of viral particles. By incorporating infection age, a rigorous analysis of the model shows that the model demonstrates a global threshold dynamics, fully described by the basic reproduction number, which is identified explicitly. The formula for the basic reproduction number of our model reveals the effects of various model parameters including the transmission rates of the two modes, and the impact of the infection age. We show that basic reproduction number is underestimated in the existing models that only consider the cell-free virus transmission, or the cell-to-cell infection, ignoring the other. Assuming logistic growth for target cells, we find that if the basic reproduction number is greater than one, the infection can persist and Hopf bifurcation can occur from the positive equilibrium within certain parameter ranges. Thirdly, the repulsion effect of superinfecting virion by infected cells is studied by a reaction diffusion equation model for virus infection dynamics. In this model, the diffusion of virus depends not only on its concentration gradient but also on the concentration of infected cells. The basic reproduction number, linear stability of steady states, spreading speed, and existence of traveling wave solutions for the model are discussed. It is shown that viruses spread more rapidly with the repulsion effect of infected cells on superinfecting virions, than with random diffusion only. For our model,…

Subjects/Keywords: Mathematical modeling; basic reproduction number; virus dynamics; viral release strategy; cell-to-cell infection; repulsion of superinfecting virion; virus infection-induced CTL-chemotaxis; Dynamic Systems; Immunology of Infectious Disease; Non-linear Dynamics; Numerical Analysis and Computation; Ordinary Differential Equations and Applied Dynamics; Partial Differential Equations; Virology

Record Details Similar Records Cite « Share

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Lai, X. (2014). Study of Virus Dynamics by Mathematical Models. (Thesis). University of Western Ontario. Retrieved from https://ir.lib.uwo.ca/etd/1978

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Lai, Xiulan. “Study of Virus Dynamics by Mathematical Models.” 2014. Thesis, University of Western Ontario. Accessed January 24, 2021. https://ir.lib.uwo.ca/etd/1978.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Lai, Xiulan. “Study of Virus Dynamics by Mathematical Models.” 2014. Web. 24 Jan 2021.

Vancouver:

Lai X. Study of Virus Dynamics by Mathematical Models. [Internet] [Thesis]. University of Western Ontario; 2014. [cited 2021 Jan 24]. Available from: https://ir.lib.uwo.ca/etd/1978.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Lai X. Study of Virus Dynamics by Mathematical Models. [Thesis]. University of Western Ontario; 2014. Available from: https://ir.lib.uwo.ca/etd/1978

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of the Western Cape

23. Gbenga, Abiodun J. Mathematical modeling and analysis of HIV/AIDS control measures .

Degree: 2012, University of the Western Cape

URL: http://hdl.handle.net/11394/4016

► In this thesis, we investigate the HIV/AIDS epidemic in a population which experiences a significant flow of immigrants. We derive and analyse a math- ematical… (more)

Subjects/Keywords: HIV; AIDS; Stability; Infected immigrants; Infectious diseases; Basic reproduction number; Diseases-free equilibrium; Endemic equilibrium; Stability analysis; Parental care; Youths; Teenagers; Optimal control; State variables; Pontryagin’s Maximum Principle; Optimality condition; Compartmental model

Record Details Similar Records Cite « Share

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Gbenga, A. J. (2012). Mathematical modeling and analysis of HIV/AIDS control measures . (Thesis). University of the Western Cape. Retrieved from http://hdl.handle.net/11394/4016

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Gbenga, Abiodun J. “Mathematical modeling and analysis of HIV/AIDS control measures .” 2012. Thesis, University of the Western Cape. Accessed January 24, 2021. http://hdl.handle.net/11394/4016.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Gbenga, Abiodun J. “Mathematical modeling and analysis of HIV/AIDS control measures .” 2012. Web. 24 Jan 2021.

Vancouver:

Gbenga AJ. Mathematical modeling and analysis of HIV/AIDS control measures . [Internet] [Thesis]. University of the Western Cape; 2012. [cited 2021 Jan 24]. Available from: http://hdl.handle.net/11394/4016.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Gbenga AJ. Mathematical modeling and analysis of HIV/AIDS control measures . [Thesis]. University of the Western Cape; 2012. Available from: http://hdl.handle.net/11394/4016

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of Waterloo

24. Stechlinski, Peter. A Study of Infectious Disease Models with Switching.

Degree: 2009, University of Waterloo

URL: http://hdl.handle.net/10012/4424

► Infectious disease models with switching are constructed and investigated in detail. Modelling infectious diseases as switched systems, which are systems that combine continuous dynamics with… (more)

Subjects/Keywords: epidemiology; infectious diseases; basic reproduction number; threshold criteria; time-dependent contact rate; incidence rate; disease-free solution; persistence; switched systems; hybrid systems

Record Details Similar Records Cite « Share

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Stechlinski, P. (2009). A Study of Infectious Disease Models with Switching. (Thesis). University of Waterloo. Retrieved from http://hdl.handle.net/10012/4424

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Stechlinski, Peter. “A Study of Infectious Disease Models with Switching.” 2009. Thesis, University of Waterloo. Accessed January 24, 2021. http://hdl.handle.net/10012/4424.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Stechlinski, Peter. “A Study of Infectious Disease Models with Switching.” 2009. Web. 24 Jan 2021.

Vancouver:

Stechlinski P. A Study of Infectious Disease Models with Switching. [Internet] [Thesis]. University of Waterloo; 2009. [cited 2021 Jan 24]. Available from: http://hdl.handle.net/10012/4424.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Stechlinski P. A Study of Infectious Disease Models with Switching. [Thesis]. University of Waterloo; 2009. Available from: http://hdl.handle.net/10012/4424

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Arizona State University

25. Alanazi, Khalaf Matar. A Rabies Model with Distributed Latent Period and Territorial and Diffusing Rabid Foxes.

Degree: Applied Mathematics, 2018, Arizona State University

URL: http://repository.asu.edu/items/51708

Subjects/Keywords: Applied mathematics; Mathematics; basic reproduction number; continuous Runge-Kutta method; Cumulative infectious force; diffusing versus territorial rabid foxes; latent period; spreading speed

Record Details Similar Records Cite « Share

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Alanazi, K. M. (2018). A Rabies Model with Distributed Latent Period and Territorial and Diffusing Rabid Foxes. (Doctoral Dissertation). Arizona State University. Retrieved from http://repository.asu.edu/items/51708

Chicago Manual of Style (16^th Edition):

Alanazi, Khalaf Matar. “A Rabies Model with Distributed Latent Period and Territorial and Diffusing Rabid Foxes.” 2018. Doctoral Dissertation, Arizona State University. Accessed January 24, 2021. http://repository.asu.edu/items/51708.

MLA Handbook (7^th Edition):

Alanazi, Khalaf Matar. “A Rabies Model with Distributed Latent Period and Territorial and Diffusing Rabid Foxes.” 2018. Web. 24 Jan 2021.

Vancouver:

Alanazi KM. A Rabies Model with Distributed Latent Period and Territorial and Diffusing Rabid Foxes. [Internet] [Doctoral dissertation]. Arizona State University; 2018. [cited 2021 Jan 24]. Available from: http://repository.asu.edu/items/51708.

Council of Science Editors:

Alanazi KM. A Rabies Model with Distributed Latent Period and Territorial and Diffusing Rabid Foxes. [Doctoral Dissertation]. Arizona State University; 2018. Available from: http://repository.asu.edu/items/51708

University of the Western Cape

26. Maku Vyambwera, Sibaliwe. Mathematical modeling of TB disease dynamics in a crowded population.

Degree: 2020, University of the Western Cape

URL: http://hdl.handle.net/11394/7357

► Tuberculosis is a bacterial infection which is a major cause of death worldwide. TB is a curable disease, however the bacterium can become resistant to… (more)

Subjects/Keywords: Cross effect; Awaiting trial; Remand; Sentenced convict; Two-group TB model; Almost sure exponential stability; Stochastic TB model; Removal rate; Inflow of infecteds; Prison TB model; Crowded environment; Multi-drug resistant TB; Basic reproduction number; Optimal control; Lyapunov function; Local and global stability of disease free; Endemic equilibrium; Disease-free equilibrium

Record Details Similar Records Cite « Share

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Maku Vyambwera, S. (2020). Mathematical modeling of TB disease dynamics in a crowded population. (Thesis). University of the Western Cape. Retrieved from http://hdl.handle.net/11394/7357

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Maku Vyambwera, Sibaliwe. “Mathematical modeling of TB disease dynamics in a crowded population. ” 2020. Thesis, University of the Western Cape. Accessed January 24, 2021. http://hdl.handle.net/11394/7357.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Maku Vyambwera, Sibaliwe. “Mathematical modeling of TB disease dynamics in a crowded population. ” 2020. Web. 24 Jan 2021.

Vancouver:

Maku Vyambwera S. Mathematical modeling of TB disease dynamics in a crowded population. [Internet] [Thesis]. University of the Western Cape; 2020. [cited 2021 Jan 24]. Available from: http://hdl.handle.net/11394/7357.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Maku Vyambwera S. Mathematical modeling of TB disease dynamics in a crowded population. [Thesis]. University of the Western Cape; 2020. Available from: http://hdl.handle.net/11394/7357

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

27. Ruan, Ji. Modeling leafhopper populations and their role in transmitting plant diseases.

Degree: 2013, University of Western Ontario

URL: https://ir.lib.uwo.ca/etd/1556

► This M.Sc. thesis focuses on the interactions between crops and leafhoppers. Firstly, a general delay differential equations system is proposed, based on the infection age… (more)

Subjects/Keywords: Leafhoppers; crops; age-structured model; basic reproduction number; local asymptotical stability; global asymptotical stability; delays; persistence; Agricultural Economics; Bioinformatics; Biology; Dynamic Systems; Non-linear Dynamics; Ordinary Differential Equations and Applied Dynamics; Parasitology; Partial Differential Equations

…the basic reproduction number is less than one, the insect-free equilibrium is locally… …divided into a high number of subfamilies (about 40), most of the subfamilies share a… …population is chosen to be number; in addition, we treat the biomass as the weight of crops, i.e… …1. In this chapter, R0 is defined as the expected number of susceptible offsprings… …parameters involved, one can easily see the biological meaning of R0 : R0 is the average number of…

10 more images…

Record Details Similar Records Cite « Share

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Ruan, J. (2013). Modeling leafhopper populations and their role in transmitting plant diseases. (Thesis). University of Western Ontario. Retrieved from https://ir.lib.uwo.ca/etd/1556

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Ruan, Ji. “Modeling leafhopper populations and their role in transmitting plant diseases.” 2013. Thesis, University of Western Ontario. Accessed January 24, 2021. https://ir.lib.uwo.ca/etd/1556.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Ruan, Ji. “Modeling leafhopper populations and their role in transmitting plant diseases.” 2013. Web. 24 Jan 2021.

Vancouver:

Ruan J. Modeling leafhopper populations and their role in transmitting plant diseases. [Internet] [Thesis]. University of Western Ontario; 2013. [cited 2021 Jan 24]. Available from: https://ir.lib.uwo.ca/etd/1556.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Ruan J. Modeling leafhopper populations and their role in transmitting plant diseases. [Thesis]. University of Western Ontario; 2013. Available from: https://ir.lib.uwo.ca/etd/1556

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

		in
And / Or
		in
And / Or
		in
And / Or
		in

Open Access Theses and Dissertations