Analysis and stability of delay differential equation with its applications
Other Title(s)
تحليل و استقرارية بعض المعادلات التفاضلية التي تحوي وقت تأخير مع التطبيقات
Dissertant
Thesis advisor
al-Ashhab, Salim Shafiq
al-Umari, Jafar
Comitee Members
Jaradat, Husayn Mahmud
al-Rabi, Iqab M.
al-Bashayirah, Kamil
University
Al albayt University
Faculty
Faculty of Sciences
Department
Department of Mathematics
University Country
Jordan
Degree
Master
Degree Date
2009
English Abstract
Time delays are an important aspect of ecological systems.
Delays are accurate ways of modeling phenomena such as maturation and gestation and can result in more complicated dynamics than in the absence of delay.
We study and analyze ordinary differential delay equations with discrete and distributed time delay.
We start by studying different types of single delay differential equations.
Local and global asymptotic stability of the equilibria, positivity and boundedness of solutions are investigated.
We then examine predator–prey models with delay and with constant rate harvesting.
A combination of analytical and numerical methods is used here.
Results are proved on linear stability and Hoof bifurcations.
Existence of periodic solutions is demonstrated numerically.
Main Subjects
Topics
No. of Pages
61
Table of Contents
Abstract.
Introduction.
Chapter One : single delay differential equations.
Chapter Two : two differential equations containing single delay.
References.
American Psychological Association (APA)
Tilfah, Qays Atif Khalid. (2009). Analysis and stability of delay differential equation with its applications. (Master's theses Theses and Dissertations Master). Al albayt University, Jordan
https://search.emarefa.net/detail/BIM-314857
Modern Language Association (MLA)
Tilfah, Qays Atif Khalid. Analysis and stability of delay differential equation with its applications. (Master's theses Theses and Dissertations Master). Al albayt University. (2009).
https://search.emarefa.net/detail/BIM-314857
American Medical Association (AMA)
Tilfah, Qays Atif Khalid. (2009). Analysis and stability of delay differential equation with its applications. (Master's theses Theses and Dissertations Master). Al albayt University, Jordan
https://search.emarefa.net/detail/BIM-314857
Language
English
Data Type
Arab Theses
Record ID
BIM-314857
