Discrete Dynamics in Nature and Society
Volume 2007 (2007), Article ID 81756, 15 pages
doi:10.1155/2007/81756
Permanence and periodic solution of predator-prey system with holling type functional response and impulses
Weibing Wang1
, Jianhua Shen1
and Juan J. Nieto3
1Department of Mathematics, Hunan Normal University, Changsha, Hunan 410081, China
3Departamento de Análise Matemática, Facultad de Matemáticas, Universidad de Santiago de Compostela, Santiago do Compostela 15782, Spain
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.