Discrete Dynamics in Nature and Society
Volume 2008 (2008), Article ID 629620, 17 pages
doi:10.1155/2008/629620
Permanence and global attractivity of a delayed discrete predator-prey system with general Holling-type functional response and feedback controls
Lijuan Chen
, Junyan Xu
and Zhong Li
College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian 350002, China
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.