Discrete Dynamics in Nature and Society
Volume 2011 (2011), Article ID 271928, 15 pages
Research Article

Asymptotic Behaviors of a Delayed Nonautonomous Predator-Prey System Governed by Difference Equations

Lili Liu1,2 and Zhijun Liu1,2

1Key Laboratory of Biological Resources Protection and Utilization of Hubei Province, Hubei University for Nationalities Enshi, Hubei 445000, China
2Department of Mathematics, Hubei University for Nationalities Enshi, Hubei 445000, China

Received 3 May 2011; Accepted 18 September 2011

Academic Editor: Zhen Jin

Copyright © 2011 Lili Liu and Zhijun Liu. 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.


Based on a predator-prey differential system with continuously distributed delays, we derive a corresponding difference version by using the method of a discretization technique. A good understanding of permanence of system and global attractivity of positive solutions of system is gained. An example and its numerical simulations are presented to substantiate our theoretical results.