具有时滞Michaelis-Menten型功能性反应的有放养的捕食链非自治扩散系统的一些性态

The Property of a Nonautonomous Diffussive Food Chain with Michaelis-Menten Type Funtional Response and Grazing with Time Delay

本文讨论了有放养的时滞Michaelis Menten型功能性反应的捕食链 .应用微分不等式和V函数法 ,在一定条件下讨论了该系统的一致持久性 ,得到了概周期解的存在唯一性及其全局吸引性 .

In this paper, we discuss a nonautonomous diffusive food chain with Michaelis-Menten type functional response and grazing with time delay. By using the comparing theorem and V-function method, we prove the uniform persistence of this system. As an almost periodic system, we abtain the existence and uniqueness of a positive almost periodic solution and further prove its global attractivity.