Discrete Dynamics in Nature and Society
Volume 2009 (2009), Article ID 605254, 15 pages
doi:10.1155/2009/605254
Research Article

Permanence of a Discrete Nonlinear Prey-Competition System with Delays

Hongying Lu

School of Mathematics and Quantitative Economics, Dongbei University of Finance and Economics, Dalian, Liaoning 116025, China

Received 3 July 2009; Accepted 16 September 2009

Academic Editor: Xue-Zhong He

Copyright © 2009 Hongying Lu. 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 nonlinear prey-competition system with m-preys and (n-m)-predators and delays is considered. Two sets of sufficient conditions on the permanence of the system are obtained. One set is delay independent, while the other set is delay dependent.