Advances in Difference Equations
Volume 2004 (2004), Issue 4, Pages 321-336
doi:10.1155/S1687183904401058
Existence and global stability of positive periodic solutions of a discrete predator-prey system with delays
Lin-Lin Wang1
, Wan-Tong Li2
and Pei-Hao Zhao2
1Depatement of Mathematics, Tianjin University, Tianjin 300072, China
2Department of Mathematics, Lanzhou University, Gansu, Lanzhou 730000, China
Abstract
We study the existence and global stability of positive periodic solutions of a periodic discrete predator-prey system with delay and Holling type III functional response. By using the continuation theorem of coincidence degree theory and the method of Lyapunov functional, some sufficient conditions are obtained.