The effect of cannibalism on the dynamical behavior of age-structured prey-predator systems
Other Title(s)
تأثير الافتراس الذاتي على السلوك الديناميكي لنظم الفريسة-المفترس ذات المراحل العمرية
Dissertant
Abd al-Jabbar, Umar Abd al-Sattar
Thesis advisor
Comitee Members
Ahmad, Buthaynah Abd al-Hassun
Fadil, Fadil Subhi
Husayn, Shawqi Sh.
University
University of Baghdad
Faculty
College of Science
Department
Mathematics Department
University Country
Iraq
Degree
Master
Degree Date
2011
English Abstract
In this thesis, a study has been made about the effect of cannibalism on two age-structure prey-predator systems.
Two types of age-structure prey-predator systems are proposed and analyzed analytically as well as numerically.
In the first system, it is assumed that there is one prey interacting with a predator that divided into two classes: adults and juveniles according to Holing type-II functional response.
However, in the second system it is assumed that there are two competing preys interacting with a predator, which divided into two classes: adults and juveniles, according to unlimited linear type of functional response.
The existence, uniqueness and boundedness of the solution of these systems are investigated.
The local stability analysis for both the systems has been carried out using Linearization method and / or Lyapunov method.
Suitable Lyapunov functions have been used for study the global stability.
Numerical simulations have been made for both the systems and the obtained results have been overviewed
Main Subjects
No. of Pages
101
Table of Contents
Table of contents.
Abstract.
Abstract in Arabic.
Introduction.
Chapter One : Preliminary.
Chapter Two : The dynamics of age-structure prey-predator model involving cannibalism.
Chapter Three : The dynamics of two competing preys-one age-structured predator involving cannibalism.
References.
American Psychological Association (APA)
Abd al-Jabbar, Umar Abd al-Sattar. (2011). The effect of cannibalism on the dynamical behavior of age-structured prey-predator systems. (Master's theses Theses and Dissertations Master). University of Baghdad, Iraq
https://search.emarefa.net/detail/BIM-601812
Modern Language Association (MLA)
Abd al-Jabbar, Umar Abd al-Sattar. The effect of cannibalism on the dynamical behavior of age-structured prey-predator systems. (Master's theses Theses and Dissertations Master). University of Baghdad. (2011).
https://search.emarefa.net/detail/BIM-601812
American Medical Association (AMA)
Abd al-Jabbar, Umar Abd al-Sattar. (2011). The effect of cannibalism on the dynamical behavior of age-structured prey-predator systems. (Master's theses Theses and Dissertations Master). University of Baghdad, Iraq
https://search.emarefa.net/detail/BIM-601812
Language
English
Data Type
Arab Theses
Record ID
BIM-601812
