一类捕食者-食饵系统的时间周期解的存在性

Existence and stability of time-periodic solutions for a predator-prey system

讨论了由一个捕食者和两个食饵组成的反应扩散方程组。运用分歧理论,隐函数定理,以及渐近展开的方法,获得了非平凡周期解的存在性。

This paper discusses a type of reaction diffusion system composed of one predator and two preys.The existence of co-exist periodic solution is investigated by using the bifurcation theory, the implicit function theorem and the method of asymptotic expansion.