On the dynamical behavior of multispecies ecological systems
Other Title(s)
حول السلوك الديناميكي للنظم البيئية متعددة الأنواع
Dissertant
al-Khazraji, Ala Tariq Balasim
Thesis advisor
University
University of Baghdad
Faculty
College of Science
Department
Mathematics Department
University Country
Iraq
Degree
Master
Degree Date
2005
English Abstract
The main objective of this thesis is to study the dynamical behavior of three species non linear ecological systems.
A three species food chain model with Beddington-DeAngelis functional response and a three species food web with Beddington-DeAngelis functional response are investigated analytically and numerically.
Analytical methods, such as Routh-Hurwitz criterion and Lyapunov function are used to study the stability of the models.
The persistence conditions of food chain model and food web model are established.
The global dynamical behavior is investigated numerically.
Variety of mathematical tools, e.g.
bifurcation diagram, three dimensional attractors, Lyapunov exponent and time series are used extensively throughout this thesis.
These tools are used for detecting chaotic dynamics
Main Subjects
No. of Pages
71
Table of Contents
Table of contents.
Abstract.
Abstract in Arabic.
Introduction.
Chapter One : Basic concept.
Chapter Two : Dynamical behavior of three species food chain model.
Chapter Three : Dynamical behavior of three species food web Model.
References.
American Psychological Association (APA)
al-Khazraji, Ala Tariq Balasim. (2005). On the dynamical behavior of multispecies ecological systems. (Master's theses Theses and Dissertations Master). University of Baghdad, Iraq
https://search.emarefa.net/detail/BIM-601568
Modern Language Association (MLA)
al-Khazraji, Ala Tariq Balasim. On the dynamical behavior of multispecies ecological systems. (Master's theses Theses and Dissertations Master). University of Baghdad. (2005).
https://search.emarefa.net/detail/BIM-601568
American Medical Association (AMA)
al-Khazraji, Ala Tariq Balasim. (2005). On the dynamical behavior of multispecies ecological systems. (Master's theses Theses and Dissertations Master). University of Baghdad, Iraq
https://search.emarefa.net/detail/BIM-601568
Language
English
Data Type
Arab Theses
Record ID
BIM-601568
