带有扩散、脉冲和时滞的非自治捕食系统的正周期解(英文)  

Positive Periodic Solutions for a Nonautonomous Delayed Predator-prey System with Diffusion and Impulses

作　　者：蔡礼明[1] 李学志[1] 

机构地区：[1]信阳师范学院数学与信息科学院,河南信阳464000

出　　处：《应用泛函分析学报》2008年第2期139-149,共11页Acta Analysis Functionalis Applicata

基　　金：the NSF of China (10671166)

摘　　要：考虑了一类食饵在斑块环境中扩散具有脉冲和时滞的捕食系统,通过灵活地运用Gaines和Mawhin的连续拓扑度定理,获得了一系列易验证的正周期解存在的充分条件.A delayed predator-prey system with prey dispersal in patch environments and impulsive effects is investigated. By using Gaines and Mawhin＇s continuation theorem of coincidence degree theory, a set of easily verifiable sufficient conditions are derived for the existence of positive periodic solutions to the system.

关 键 词：捕食系统 时滞 脉冲 扩散 拓扑度 

分 类 号：O175[理学—数学]