The dynamic of stage structured prey-predator systems involving infectious disease

Other Title(s)

ديناميكة نظم الفريسة-المفترس ذات المراحل العمرية و المتضمنة مرض معدي

Dissertant

al-Jaf, Dina Sultan

Thesis advisor

Naji, Raid Kamil

Comitee Members

Zbun, Radi A.
Majid, Azhar Abbas
Abd al-Razzaq, Tariq Salih
Abd al-Hadi, Ahmad Mawlud

University

University of Baghdad

Faculty

College of Science

Department

Mathematics Department

University Country

Iraq

Degree

Master

Degree Date

2010

English Abstract

The objective of this thesis is to study the dynamical behavior of the stage structured prey-predator models involving infectious disease.

Two types of eco-epidemiological models are proposed and investigated analytically as well as numerically.

In the first model, it is assumed that the parasites, those which causing the disease, exist in some members of the prey population and all predators, while in the second model the viruses, those which causing the disease, exist in the prey population only.

The existence and boundedness of the solution of these models are investigated.

The local and global dynamical behaviors are performed.

The conditions of persistence of the models are established.

Finally the effects of the disease and stage structure on the dynamical behavior of both the models are discussed

Main Subjects

Mathematics

Topics

No. of Pages

131

Table of Contents

Table of contents.

Abstract.

Abstract in Arabic.

Introduction.

Chapter One : Preliminary.

Chapter Two : The dynamics of stage structured prey-predator model involving parasitic infectious disease.

Chapter Three : The dynamics of stage structured prey-predator model involving viral infectious disease.

References.

American Psychological Association (APA)

al-Jaf, Dina Sultan. (2010). The dynamic of stage structured prey-predator systems involving infectious disease. (Master's theses Theses and Dissertations Master). University of Baghdad, Iraq
https://search.emarefa.net/detail/BIM-602228

Modern Language Association (MLA)

al-Jaf, Dina Sultan. The dynamic of stage structured prey-predator systems involving infectious disease. (Master's theses Theses and Dissertations Master). University of Baghdad. (2010).
https://search.emarefa.net/detail/BIM-602228

American Medical Association (AMA)

al-Jaf, Dina Sultan. (2010). The dynamic of stage structured prey-predator systems involving infectious disease. (Master's theses Theses and Dissertations Master). University of Baghdad, Iraq
https://search.emarefa.net/detail/BIM-602228

Language

English

Data Type

Arab Theses

Record ID

BIM-602228