Analysis and stability of some biomathematical models of multi-species interaction in the differential equations
Other Title(s)
تحليل و إستقرارية بعض النماذج الرياضيات الحيوية ذات التفاعل المتعدد الأنواع في المعادلات التفاضلية
Dissertant
Rababiah, Ahmad Muhammad Yusuf
Thesis advisor
al-Ashhab, Salim Shafiq
al-Umari, Jafar
Comitee Members
Awawidah, Fadi Abd Allah
Jaradat, Husayn Mahmud
Abu al-Shar, Musa Jabir
University
Al albayt University
Faculty
Faculty of Sciences
Department
Department of Mathematics
University Country
Jordan
Degree
Master
Degree Date
2009
English Abstract
We study and analyse two species predator-prey models, with different types of functional response.
Local and global asymptotic stability of the equilibrium, positivity and boundedness of solutions are investigated.
We then examine a general three species food chain model.
A combination of analytical and numerical methods is used here.
Results are proved on linear and global stability of equilibrium.
Finally a Lotka-Volterra competition system is then analysed, where two species compete for the same limited food source or in some way inhabit each other growth.
Linear stability of the equilibrium of the competition model is investigated analytically and numerically.
Main Subjects
Topics
No. of Pages
60
Table of Contents
Table of contents.
Abstract.
Introduction.
Chapter One : definitions.
Chapter Two : simple models.
Chapter Three : complex models.
References.
American Psychological Association (APA)
Rababiah, Ahmad Muhammad Yusuf. (2009). Analysis and stability of some biomathematical models of multi-species interaction in the differential equations. (Master's theses Theses and Dissertations Master). Al albayt University, Jordan
https://search.emarefa.net/detail/BIM-307402
Modern Language Association (MLA)
Rababiah, Ahmad Muhammad Yusuf. Analysis and stability of some biomathematical models of multi-species interaction in the differential equations. (Master's theses Theses and Dissertations Master). Al albayt University. (2009).
https://search.emarefa.net/detail/BIM-307402
American Medical Association (AMA)
Rababiah, Ahmad Muhammad Yusuf. (2009). Analysis and stability of some biomathematical models of multi-species interaction in the differential equations. (Master's theses Theses and Dissertations Master). Al albayt University, Jordan
https://search.emarefa.net/detail/BIM-307402
Language
English
Data Type
Arab Theses
Record ID
BIM-307402
