The dynamics of some epidemic models

Other Title(s)

ديناميكية بعض النماذج الوبائية

Dissertant

Shafiq, Shuruq Kazim

Thesis advisor

Naji, Raid Kamil

Comitee Members

Abd al-Rahman, H. M.
Abd al-Khaliq, Munir
Abd al-Hadi, Ahmad Mawlud

University

University of Baghdad

Faculty

College of Science

Department

Mathematics Department

University Country

Iraq

Degree

Master

Degree Date

2011

English Abstract

The main objective of this thesis is to study the effect of some epidemic concepts such as treatment, immigrants and vaccine on the dynamical behavior of some epidemic models.

Two types of epidemiological models are proposed and analyzed analytically as well as numerically.

In the first model, an SIS epidemic model with a limited resource of treatment and immigrants is introduced, while in the second model an SVIS epidemic model with immigrants is introduced.

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

The local and global dynamical behaviors are studied.

Finally the effect of treatment, immigrants and vaccine on the dynamical behavior of both the models are discussed.

Main Subjects

Mathematics

Topics

No. of Pages

71

Table of Contents

Table of contents.

Abstract.

Abstract in Arabic.

Introduction.

Chapter One : Preliminary

Chapter Two : The effect of treatment and immigrants on SIS epidemic model.

Chapter Three : The dynamics of SVIS epidemic model involving immigrants.

References.

American Psychological Association (APA)

Shafiq, Shuruq Kazim. (2011). The dynamics of some epidemic models. (Master's theses Theses and Dissertations Master). University of Baghdad, Iraq
https://search.emarefa.net/detail/BIM-601878

Modern Language Association (MLA)

Shafiq, Shuruq Kazim. The dynamics of some epidemic models. (Master's theses Theses and Dissertations Master). University of Baghdad. (2011).
https://search.emarefa.net/detail/BIM-601878

American Medical Association (AMA)

Shafiq, Shuruq Kazim. (2011). The dynamics of some epidemic models. (Master's theses Theses and Dissertations Master). University of Baghdad, Iraq
https://search.emarefa.net/detail/BIM-601878

Language

English

Data Type

Arab Theses

Record ID

BIM-601878