Discrete Dynamics in Nature and Society
Volume 2009 (2009), Article ID 205481, 9 pages
doi:10.1155/2009/205481
Research Article

Permanence of a Discrete Periodic Volterra Model with Mutual Interference

1College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian 350002, China
2Department of Mathematics and Physics, Fujian Institute of Education, Fuzhou, Fujian 350001, China

Received 5 December 2008; Accepted 12 February 2009

Academic Editor: Antonia Vecchio

Copyright © 2009 Lijuan Chen and Liujuan Chen. 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 discusses a discrete periodic Volterra model with mutual interference and Holling II type functional response. Firstly, sufficient conditions are obtained for the permanence of the system. After that, we give an example to show the feasibility of our main results.