STABILITY ANALYSIS OF PERIODIC SOLUTIONS TO THE NON-STANDARD DISCRETIZATION MODEL OF THE LOTKA-VOLTERRA PREDATOR-PREY SYSTEM

Authors

  • Shawki Abbas Department of Mathematics, College of Science, University of Baghdad, Iraq.

Keywords:

NON

Abstract

The standard classical discretization methods of differential equations often produce difference equations that do not share dynamics with their continuous counterparts; Recently,[4] has developed successful non-standard discretization schemes that produce dynamical consistency, which numerical analysis value highly. Many authors have adapted these methods to various biological models. We reviewed a non-standard discretized biological model of a Lotka-Volterrs Predator-Prey system in a general form and discussed the stability analysis of its periodic solutions. We also discussed a numerical example of this analysis using the non-standard discretized Predator-Prey model the name of executed program for drawing and calculation is “MATLAB 7.0”.

Published

2009-03-01

Issue

Section

Articles

How to Cite

(1)
STABILITY ANALYSIS OF PERIODIC SOLUTIONS TO THE NON-STANDARD DISCRETIZATION MODEL OF THE LOTKA-VOLTERRA PREDATOR-PREY SYSTEM. ANJS 2009, 12 (1), 113-120.