Discrete Dynamics in Nature and Society 
Volume 2007 (2007), Article ID 81756, 15 pages
doi:10.1155/2007/81756
Research Article

Permanence and Periodic Solution of Predator-Prey System with Holling Type Functional Response and Impulses

Weibing Wang,1 Jianhua Shen,1,2 and Juan J. Nieto3

 1Department of Mathematics, Hunan Normal University, Changsha, Hunan 410081, China
2Department of Mathematics, College of Huaihua, Huaihua, Hunan 418008, China
3Departamento de Análise Matemática, Facultad de Matemáticas, Universidad de Santiago de Compostela, Santiago do Compostela 15782, Spain
Received 3 January 2007; Accepted 12 July 2007

Abstract

We considered a nonautonomous two dimensional predator-prey system with impulsive effect. Conditions for the permanence of the system and for the existence of a unique stable periodic solution are obtained.