On the dynamics of some eco-epidemiological models
Other Title(s)
حول ديناميكية بعض النماذج البيئية-الوبائية
Dissertant
Thesis advisor
Comitee Members
Fadil, Fadil Subhi
Abd al-Hadi, Ahmad Mawlud
Husayn, Shawqi Sh.
University
University of Baghdad
Faculty
College of Science
Department
Mathematics Department
University Country
Iraq
Degree
Master
Degree Date
2012
English Abstract
In this thesis, the dynamical behavior of some eco-epidemiological models is investigated.
Two types of prey-predator models involving infectious disease in predator population, which divided it into two compartments; namely susceptible population (S) and infected population (I), are proposed and analyzed.
The first proposed model deals with SIS infectious disease that transmitted directly from external sources, as well as, through direct contact between susceptible and infected individuals using linear type of incidence rate.
While, the second proposed model deals with SIS infectious disease that transmitted through the direct contact between susceptible and infected individuals only using nonlinear type of incidence rate.
Both the models are represented mathematically by the set of nonlinear differential equations.
The existence, uniqueness and boundedness of the solution of these two models are investigated.
The local and global stability conditions of all possible equilibrium points are established.
The occurrence of local bifurcation (such as saddle-node, transcritical and pitchfork) and Hopf bifurcation near each of the equilibrium points are discussed.
Finally, numerical simulation is used to study the global dynamics of the both models.
Main Subjects
Topics
No. of Pages
137
Table of Contents
Table of contents.
Abstract.
Abstract in Arabic.
Introduction.
Chapter One : Preliminaries.
Chapter Two : On the dynamics of prey-predator model with infectious disease in predator using linear type of incidence rate and different sources of disease.
Chapter Three : On the dynamics of prey-predator model with infectious disease in predator using nonlinear type of incidence rate.
References.
American Psychological Association (APA)
Yasin, Rasha Majid. (2012). On the dynamics of some eco-epidemiological models. (Master's theses Theses and Dissertations Master). University of Baghdad, Iraq
https://search.emarefa.net/detail/BIM-602813
Modern Language Association (MLA)
Yasin, Rasha Majid. On the dynamics of some eco-epidemiological models. (Master's theses Theses and Dissertations Master). University of Baghdad. (2012).
https://search.emarefa.net/detail/BIM-602813
American Medical Association (AMA)
Yasin, Rasha Majid. (2012). On the dynamics of some eco-epidemiological models. (Master's theses Theses and Dissertations Master). University of Baghdad, Iraq
https://search.emarefa.net/detail/BIM-602813
Language
English
Data Type
Arab Theses
Record ID
BIM-602813
