Discrete Dynamics in Nature and Society
Volume 2009 (2009), Article ID 732510, 16 pages
doi:10.1155/2009/732510
Research Article

Permanence and Global Attractivity of a Discrete Two-Prey One-Predator Model with Infinite Delay

Zhixiang Yu and Zhong Li

College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian 350108, China

Received 4 February 2009; Revised 2 July 2009; Accepted 15 August 2009

Academic Editor: Leonid Berezansky

Copyright © 2009 Zhixiang Yu and Zhong Li. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

A discrete two-prey one-predator model with infinite delay is proposed. A set of sufficient conditions which guarantee the permanence of the system is obtained. By constructing a suitable Lyapunov functional, we also obtain sufficient conditions ensuring the global attractivity of the system. An example together with its numerical simulation shows the feasibility of the main results.