一类时滞捕食-食饵系统的概周期解的存在唯一性和全局吸引性  

Existence and Global Attaractivity of Unique Positive Almost Periodic Solution for A Predator-Prey Model with Delay

作　　者：杨喜陶[1] YANG Xi-tao(Department of Mathematics, Hunan University of Science and Technology, Xiangtan Hunan 411201 China)

机构地区：[1]湖南科技大学数学系,湖南湘潭411201

出　　处：《生物数学学报》2016年第4期527-537,共11页Journal of Biomathematics

基　　金：湖南省自然科学基金(2015JJ2063)资助

摘　　要：利用微分不等式及Liapunov泛函,研究了一类具有时滞和Modified Leslie-Gower HollingⅡ功能性反应捕食-食饵系统,获得了系统一致持久及解全局吸引的充分条件,对于这类概周期系统,建立了存在全局吸引的唯一正概周期解的准则.In this paper, by using differential inequality and Liapunov function, we study the predator-prey model with delay and Modified Leslie-Gower Holling II schemes. Sufficient conditions are obtained wich guarantee the uniform persistence and global attractivity of positive solution for the model. Then some criteria are established for the existence, uniqueness and global attaractivity of positive almost periodic solution for almost periodic system.

关 键 词：时滞 LIAPUNOV泛函 一致持久 全局吸引 概周期 

分 类 号：O175.8[理学—数学]