一类具脉冲效应和单调功能反应的时滞捕食系统的正周期解  

Positive Periodic Solution for a Class of a Delay Predator-prey System with Monotonic Functional Response and Impulsive Effect

作　　者：杨继昌[1] 沈柳平[1] 姚晓洁[1] 

机构地区：[1]柳州师范高等专科学校数学与计算机科学系,广西柳州545004

出　　处：《数学的实践与认识》2010年第13期117-127,共11页Mathematics in Practice and Theory

基　　金：国家自然科学基金(10671133)

摘　　要：利用重合度理论中的延拓定理,获得了一类具有脉冲效应和单调功能反应的时滞捕食系统正周期解存在性的充分条件.最后,通过列举三个例子表示我们等待结果的有效性.By using a continuation theorem based on coincidence degree theory, some sufficient conditions are obtained for the existence of positive periodic solution for a class of a delay predator-prey system with monotonic functional response and impulsive effect. Finally, three examples are given to illustrate the effectiveness of our results.

关 键 词：脉冲效应 单调功能反应 捕食系统 正周期解 重合度 

分 类 号：O175[理学—数学]