On the dynamics of the harvested prey-predator models with infectious disease in prey

Other Title(s)

حول ديناميكية نماذج حصاد الفريسة و المفترس عند وجود مرض معد في الفريسة

Dissertant

Ibrahim, Hibah Abd Allah

Thesis advisor

Naji, Raid Kamil

Comitee Members

Abd al-Hadi, Ahmad M.
Zbun, Radi A.
Majid, Azhar Abbas

University

University of Baghdad

Faculty

College of Science

Department

Mathematics Department

University Country

Iraq

Degree

Master

Degree Date

2008

English Abstract

The objective of this thesis is to study the dynamical behavior of the harvested prey-predator models with infectious disease in prey species.

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

In the first model, it is assumed that the predator feeds on the infected prey only, while in the second model the predator feeds on both the infected and susceptible prey.

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.

The Hopf bifurcation analysis is carried out.

Finally, the effects of the harvesting and the disease on the dynamical behavior of both the models are discussed

Main Subjects

Mathematics

Topics

No. of Pages

100

Table of Contents

Table of contents.

Abstract.

Abstract in Arabic.

Preliminary.

Chapter One : reliminary.

Chapter Two : The dynamical behavior of a harvested prey-predator model with infectious disease in prey-I.

Chapter Three : The dynamical behavior of a harvested prey-predator model with infectious disease in prey-II.

References.

American Psychological Association (APA)

Ibrahim, Hibah Abd Allah. (2008). On the dynamics of the harvested prey-predator models with infectious disease in prey. (Master's theses Theses and Dissertations Master). University of Baghdad, Iraq
https://search.emarefa.net/detail/BIM-602031

Modern Language Association (MLA)

Ibrahim, Hibah Abd Allah. On the dynamics of the harvested prey-predator models with infectious disease in prey. (Master's theses Theses and Dissertations Master). University of Baghdad. (2008).
https://search.emarefa.net/detail/BIM-602031

American Medical Association (AMA)

Ibrahim, Hibah Abd Allah. (2008). On the dynamics of the harvested prey-predator models with infectious disease in prey. (Master's theses Theses and Dissertations Master). University of Baghdad, Iraq
https://search.emarefa.net/detail/BIM-602031

Language

English

Data Type

Arab Theses

Record ID

BIM-602031