Open Access

Existence and global stability of positive periodic solutions of a discrete predator-prey system with delays

  • Lin-Lin Wang1, 2,
  • Wan-Tong Li2 and
  • Pei-Hao Zhao2
Advances in Difference Equations20042004:739439

https://doi.org/10.1155/S1687183904401058

Received: 13 January 2004

Published: 14 December 2004

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.

Authors’ Affiliations

(1)
Depatement of Mathematics, Tianjin University
(2)
Department of Mathematics, Lanzhou University

Copyright

© Wang et al. 2004