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Discrete Dynamics in Nature and Society
Volume 2012 (2012), Article ID 508962, 14 pages
http://dx.doi.org/10.1155/2012/508962
Research Article

Dynamic Behaviors of a Nonautonomous Discrete Predator-Prey System Incorporating a Prey Refuge and Holling Type II Functional Response

College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian 350002, China

Received 1 October 2012; Revised 11 December 2012; Accepted 12 December 2012

Academic Editor: M. De la Sen

Copyright © 2012 Yumin Wu et al. 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 nonautonomous discrete predator-prey system incorporating a prey refuge and Holling type II functional response is studied in this paper. A set of sufficient conditions which guarantee the persistence and global stability of the system are obtained, respectively. Our results show that if refuge is large enough then predator species will be driven to extinction due to the lack of enough food. Two examples together with their numerical simulations show the feasibility of the main results.