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VOL. 53 | 2009 Local stability of a discrete competition model derived from a nonstandard numerical method
Wendy J. Hernandez-Padilla, Lih-Ing W. Roeger

Editor(s) Saber Elaydi, Kazuo Nishimura, Mitsuhiro Shishikura, Nobuyuki Tose

Abstract

The continuous two-dimensional Lotka-Volterra competition model is converted to a discrete version using a noncanonical symplectic numerical method. The local stability of the differential equations and difference equations are analyzed and compared. We found that the numerical method preserves the local dynamics of the continuous model. The local stability criteria are the same between the continuous model and the discrete model. The discrete-time model is dynamically consistent with its continuous counterpart.

Information

Published: 1 January 2009
First available in Project Euclid: 28 November 2018

zbMATH: 1179.65102
MathSciNet: MR2582425

Digital Object Identifier: 10.2969/aspm/05310283

Subjects:
Primary: 34-04

Rights: Copyright © 2009 Mathematical Society of Japan

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