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 fora Class of a Delay Predator-prey System with Monotonic Functional Response and Impulsive Effect

关键词:  微分方程  捕食系统  脉冲效应  功能反应  周期解  重合度

Key words:  differential equation  predator-prey system  impulsive effect  monotonic functional response  periodic solutions  coincidence degree

摘要:

利用重合度理论中的延拓定理,获得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的充分条件,改进了相关文献的结果.

Abstract:

By using a continuation theorem based on coincidence degree theory, 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.The results have improved and extend the related reports in the literatures.