具有Michachis-Menten类型功能和放养的食物链扩散系统的研究

Study on periodic solution of food chain diffusion system with the Michachis-Menten′s functional response and prey supplement

研究具有Michachis Menten类型功能反应的捕食链非自治扩散系统,应用极值原理和不动点定理及V函数法,得到该系统的持久性和存在惟一全局稳定周期解的充分条件.

The two species of periodic predator-prey systems with Michachis-Mentens type of functional response are considered. It is proved that the system can have a unique globally asymptotical stable periodic solution,which can be obtained by using the extremum principle, the fixed point theorem and the V function method together.