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.
出处
《应用泛函分析学报》
CSCD
2008年第2期139-149,共11页
Acta Analysis Functionalis Applicata
基金
the NSF of China (10671166)
关键词
捕食系统
时滞
脉冲
扩散
拓扑度
predator-prey system
delay
impulse
diffusion
coincidence degree
