Permanence and periodic solutions of delayed predator-prey system with impulse  

作　　者：SHI Hong-bo 

机构地区：[1]School of Mathematical Sciences, Huaiyin Normal University, Jiangsu 223300, China

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2010年第3期264-276,共13页高校应用数学学报（英文版）（B辑）

基　　金：Supported by the NNSF of China (10801065)

摘　　要：The existence of positive periodic solution of a generalized semi-ratio-dependent predator-prey system with time delay and impulse is studied by using the continuation theorem based on the coincidence degree theory. The permanence of the system is also considered. The results partially improve and extend some known criteria.The existence of positive periodic solution of a generalized semi-ratio-dependent predator-prey system with time delay and impulse is studied by using the continuation theorem based on the coincidence degree theory. The permanence of the system is also considered. The results partially improve and extend some known criteria.

关 键 词：Predator-prey system IMPULSE periodic solution PERMANENCE coincidence degree. 

分 类 号：O175.1[理学—数学] Q141[理学—基础数学]