具功能性反应的食饵与捕食者系统的定性分析

A qualitative analysis to the system between the possessing functional response prey and predator

应用数学生态学和微分方程定性理论,建立并讨论了一个具功能性反应的食饵与捕食者系统,在给定参数满足一定的条件下,证明了该系统极限环的存在性和唯一性,以及该系统的正平衡点全局渐近稳定。

With the mathematics ecology and the differential equation quality theory, a system between the predator and prey possessing functional response is established. Under the given parameters, both the existence and uniqueness of the system＇s limit cycles are proved. The positive equilibrium points in the system are globally asymptotic stable.