Stability analysis of prey-predator models with a reserved zone and stage structure
Other Title(s)
تحليل الاستقرارية لنماذج الفريسة و المفترس مع المنطقة المحمية و المراحل العمرية
Dissertant
Thesis advisor
Comitee Members
Zbun, Radi A.
Majid, Abd al-Rahman Hamid
Majid, Azhar Abbas
Abd al-Hadi, Ahmad Muhammad
University
University of Baghdad
Faculty
College of Science
Department
Mathematics Department
University Country
Iraq
Degree
Master
Degree Date
2009
English Abstract
This thesis treats the qualitative behavior of the dynamics for some ecological models.
Two types of prey-predator models are proposed and analyzed analytically as well as numerically in two different cases (wholly dependent predator and partially dependent predator).
In the first model, it is assumed that the habitat is divided into two disjoint zones, namely unreserved zone and reserved zone, while in the second model the stage structure factor of predator is added to the prey-predator model with a reserved area of Dubey [24].
The existence and uniqueness of the solution of these models are investigated.
The local and global dynamical behaviors are studied.
The conditions of persistence of the models are established.
The Hopf bifurcation analysis is carried out.
Finally, the effects of the existence of the reserved zone and stage structure on the dynamical behavior of both the models are discussed.
Main Subjects
Topics
No. of Pages
114
Table of Contents
Table of contents.
Abstract.
Abstract in Arabic.
Introduction.
Chapter One : Preliminary.
Chapter Two : The dynamics of prey-predator model with a reserved zone.
Chapter Three : The dynamics of a stage structure prey-predator model with reserved zone.
References.
American Psychological Association (APA)
al-Jaf, Shirin Rasul. (2009). Stability analysis of prey-predator models with a reserved zone and stage structure. (Master's theses Theses and Dissertations Master). University of Baghdad, Iraq
https://search.emarefa.net/detail/BIM-602185
Modern Language Association (MLA)
al-Jaf, Shirin Rasul. Stability analysis of prey-predator models with a reserved zone and stage structure. (Master's theses Theses and Dissertations Master). University of Baghdad. (2009).
https://search.emarefa.net/detail/BIM-602185
American Medical Association (AMA)
al-Jaf, Shirin Rasul. (2009). Stability analysis of prey-predator models with a reserved zone and stage structure. (Master's theses Theses and Dissertations Master). University of Baghdad, Iraq
https://search.emarefa.net/detail/BIM-602185
Language
English
Data Type
Arab Theses
Record ID
BIM-602185
