Qualitive study of the dynamics of the multi-interactions ecological systems

Other Title(s)

الدراسة النوعية لديناميكية النظام الأيكولوجي للتفاعلات المتعددة

Dissertant

Sadi, Rami Rad

Thesis advisor

Naji, Raid Kamil

Comitee Members

Abbud, Bassim Nasih
Majid, Azhar Abbas
Abd al-Hadi, Ahmad Mawlud

University

University of Baghdad

Faculty

College of Science

Department

Mathematics Department

University Country

Iraq

Degree

Master

Degree Date

2013

English Abstract

The objective of this thesis is to study the dynamical behavior of four species syn-ecological models.

Two types of four species mathematical model involving different types of ecological interactions is proposed and analyzed.

In the first model Holling type –II functional response is a doubted to describe the behavior of predation, while in the second model Lotka- Volterra functional response is used to describe the predation process of the general predator.

For the both the models, the existence, uniqueness and boundedness of the solution are discussed.

The existences and the stability analysis of all possible equilibrium points are studied.

Suitable Lyapunov functions are used to study the global dynamics of the proposed models.

Numerical simulations are also carried out to investigate the influence of parameters on the dynamical behavior of the models and to support the obtained analytical results of the both the models.

Main Subjects

Mathematics

Topics

• Biology
• Mathematics
• Mathematical models
• Simulation methods

No. of Pages

121

Table of Contents

• APA
• MLA
• AMA

Language

English

Data Type

Arab Theses

Record ID

BIM-602881