一类具有Holling Ⅲ类功能性反应的捕食者-食饵系统的时间周期解的存在性与稳定性

Existence and Stability of Time-periodic Solution for a Predator-prey System with Holling Ⅲ Type Functional Response

本文讨论一类具有HollingⅢ类功能性反应的捕食者-食饵系统,运用分歧理论、隐函数定理以及渐近展开的方法获得了共存周期解的存在性与稳定性的结果.

This paper discuss a type of predator-prey system with HollingⅢtype functional response.The existence and stability of co-exist periodic solutions are investigated by using the bifurcation theory,the implicit function theorem and the method of asymptotic expansion.