带有扩散、脉冲和时滞的非自治捕食系统的正周期解

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.