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 Wang,1,2 Wan-Tong Li,2 and Pei-Hao Zhao2

1Depatement of Mathematics, Tianjin University, Tianjin 300072, China
2Department of Mathematics, Lanzhou University, Gansu, Lanzhou 730000, China

Received 13 January 2004

Copyright © 2004 Lin-Lin Wang 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

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.