一类具群体防御状态及Holling Ⅲ型功能反应的捕食系统正周期解的全局吸引性  

Global Attractivity of Positive Periodic Solution to a Predator-prey System with Group Defense and Holling Ⅲ Type Functional Response

作　　者：刘昌东[1] 江如[1] 柴华金[1] 

机构地区：[1]广东海洋大学理学院,广东湛江524088

出　　处：《广东海洋大学学报》2016年第3期89-97,共9页Journal of Guangdong Ocean University

摘　　要：应用微分方程比较原理,重合度理论中的Mawhin’s延拓定理和Lyapunov函数研究一类具有相互干扰和群体防御状态及Holling Ⅲ型功能反应的捕食系统正周期解的存在性和全局吸引性。推广了有关文献的研究和结果。By using the comparison principle of differential equation, Mawhin＇s continuation theorem of coincidence degree theory and Lyapunov functional, a predator-prey system with mutual interference, group defense and Holling Ⅲ type functional response is studied. Some results acquired in recent literatures are improved.

关 键 词：功能反应模型 正周期解 LYAPUNOV函数 全局吸引性 Mawhin延拓定理 

分 类 号：O175.1[理学—数学]