一类捕食者食饵系统周期解的全局存在性

Global Existence of Positive Periodic Solution in Predator Prey System

讨论了一类具有HollingⅢ型功能性反应的捕食者 食饵系统 ,利用重合度理论 ,构造了符合延拓定理中的条件的集合 .证明了Lx等于Nx在L定义域与该集合闭包的交集中至少存在一个解 。

A positive periodic predator prey system is investigated for a Holling Ⅲ type functional response. By using continuation theorem in coincidence degree theory and constructing the set satisfying the conditions of lemma 1, that L x equals N x is proved existing at least one solution in the cap of the domain L and the closure of this set. The sufficient condition to ensure the global existence of periodic solution is obtained.