食饵有补充具有Holling-Ⅱ类功能反应捕食系统的周期解与概周期解

Periodic and Almost Periodic Solutions to a Class of Predator-prey Systmes with Functional responses of Holling's Type Ⅱ and Prey Supplement

对于食饵有补充并具有Holling-Ⅱ类密度制约的非自治二维食饵-捕食系统的模型.利用微分不等式,比较定理及Liapunov函数,讨论了周期解及概周期解的存在性和全局渐近稳定性.

With the help of differential inequality, comparison theorem and Liapunov function, this paper is to discuss two non-autonomously dimensional predator-preys with functional responses of Holling＇ s type Ⅱ and prey supplement, and analyze the existence and glogally asymptotic stability of positive solution and positive almost solution.