GLOBAL STABILITY AND PERSISTENCE OF THREE SPECIESFOOD WEB INVOLVING OMNIVORY

Authors

  • Raid Naji Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq.

DOI:

https://doi.org/10.24996/

Keywords:

Food web, Omnivory, Sability, Persistence, Bifurcation

Abstract

In this paper, the dynamics of a three species food web model consisting of
producers, primary consumers and omnivory is studied analytically as well as
numeri-cally. The existence of equilibrium points and local stability analysis
for this model is carried out together with a bifurcation analysis. The
occurrence of hopf bifurcation is also investigated. The persistence conditions
of the food web model are established by using average Lyapunov function.
The global stability analysis of the food web model is also presented with help
of Lyapunov method. Finally, in order to confirm our analytical results,
numerical simulation is carried out for suitable choices of parameters values. It
is observed that, the existence of omnivory in a food web plays a vital role in
the stability of the dynamical behavior of the system.

Downloads

Download data is not yet available.

Downloads

Published

2024-03-26

Issue

Section

Mathematics

How to Cite

GLOBAL STABILITY AND PERSISTENCE OF THREE SPECIESFOOD WEB INVOLVING OMNIVORY. (2024). Iraqi Journal of Science, 53(4), 866-876. https://doi.org/10.24996/

Similar Articles

11-20 of 152

You may also start an advanced similarity search for this article.

Most read articles by the same author(s)

1 2 > >>