Bifurcation analysis of applied dynamical models

Dissertant

al-Barmil, Amal

Thesis advisor

al-Uqayli, Marwan

Comitee Members

Salih, Muhammad
al-Ayyan, Ala al-Din

University

Birzeit University

Faculty

Faculty of Science

Department

Department of Mathematics

University Country

Palestine (West Bank)

Degree

Master

Degree Date

2014

English Abstract

Bifurcation appears in models in di erent elds such as biology, economics, .

.

.

etc.

In this thesis we study the bifurcation in discrete-time dynamical system in one and two dimensions, we consider the sucient conditions for the existence of the di erent types of bifurcation.

We study bifurcation in logistic competition and predator-prey models.

Also we draw bifurcation diagrams using Matlab 7:12.

Main Subjects

Mathematics

No. of Pages

99

Table of Contents

Table of contents.

Abstract.

Chapter One : Introduction.

Chapter Two : Preliminaries.

Chapter Three : Bifurcation of one-dimensional maps.

Chapter Four : Bifurcation of two-dimensional maps.

Chapter Five : Bifurcation of logistic competition model.

Chapter Six : Analysis of discrete-time predator-prey system.

Chapter Seven : Bifurcation analysis a population model.

References.

American Psychological Association (APA)

al-Barmil, Amal. (2014). Bifurcation analysis of applied dynamical models. (Master's theses Theses and Dissertations Master). Birzeit University, Palestine (West Bank)
https://search.emarefa.net/detail/BIM-620094

Modern Language Association (MLA)

al-Barmil, Amal. Bifurcation analysis of applied dynamical models. (Master's theses Theses and Dissertations Master). Birzeit University. (2014).
https://search.emarefa.net/detail/BIM-620094

American Medical Association (AMA)

al-Barmil, Amal. (2014). Bifurcation analysis of applied dynamical models. (Master's theses Theses and Dissertations Master). Birzeit University, Palestine (West Bank)
https://search.emarefa.net/detail/BIM-620094

Language

English

Data Type

Arab Theses

Record ID

BIM-620094