Discrete Dynamics in Nature and Society
Volume 2008 (2008), Article ID 629620, 17 pages
doi:10.1155/2008/629620
Research Article
Permanence and Global Attractivity of a
Delayed Discrete Predator-Prey System with General Holling-Type Functional Response and Feedback Controls
College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian 350002, China
Received 8 June 2008; Accepted 11 September 2008
Academic Editor: Leonid Berezansky
Copyright © 2008 Lijuan Chen 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
This paper discusses a delayed discrete predator-prey system with general Holling-type
functional response and feedback controls. Firstly, sufficient conditions are
obtained for the permanence of the system. After that, under some additional conditions,
we show that the periodic solution of the system is global stable.