Discrete Dynamics in Nature and Society
Volume 2010 (2010), Article ID 246783, 11 pages
doi:10.1155/2010/246783
Research Article

Permanence of a Discrete Periodic Volterra Model with Mutual Interference and Beddington-DeAngelis Functional Response

Runxin Wu

Department of Mathematics and Physics, Fujian University of Technology, Fuzhou, Fujian 350014, China

Received 4 March 2010; Accepted 12 May 2010

Academic Editor: Leonid Berezansky

Copyright © 2010 Runxin Wu. 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

This paper discuss a discrete periodic Volterra model with mutual interference and Beddington-DeAngelis functional response. By using the comparison theorem of difference equation, sufficient conditions are obtained for the permanence of the system. After that,we give an example to show the feasibility of our main result.