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 Correspondence should be addressed to Hongying Lu, [email protected] Received 3 July 2009; Accepted 16 September 2009 Recommended by Xue-Zhong He 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. Copyright q 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.