时标下具Hassell-Varley型功能性反应的捕食者-食饵系统的周期性(英文)  

Periodicity in A Predator-Prey System with Hassell-Varley Type Functional Response on Time Scales

作　　者：曾志军[1] 

机构地区：[1]东北师范大学数学与统计学院,吉林长春130024

出　　处：《生物数学学报》2012年第1期21-31,共11页Journal of Biomathematics

基　　金：Supported by NSFC(11101075,10971022);SRFDP(20090043120009);NCET (08-0755)

摘　　要：利用重合度理论中的连续性定理研究了时标下具Hassell-Varley型功能性反应的捕食者-食饵系统的周期性,得到周期解存在的充分条件,所得结果推广了已有文献中的相关结论.In this paper, by using the continuation theorem of coincidence degree theory, sufficient conditions are obtained for the existence of positive periodic solution for non-autonomous predator-prey systems with Hassell-Varley type functional response. Our results substantially extend some known criteria.

关 键 词：时标 Hassell-Varley型 连续性定理 周期解 功能性反应 

分 类 号：O175.14[理学—数学]