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

  • 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
How to Cite
Abbas, S. (2009). STABILITY ANALYSIS OF PERIODIC SOLUTIONS TO THE NON-STANDARD DISCRETIZATION MODEL OF THE LOTKA-VOLTERRA PREDATOR-PREY SYSTEM. Al-Nahrain Journal of Science, 12(1), 113-120. Retrieved from https://anjs.edu.iq/index.php/anjs/article/view/1272
Issue
Vol 12 No 1 (2009): March
Section
Articles
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