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

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

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.