一类Holling功能性反应模型极限环的唯一性

On the Uniqueness of Limit Cycle for a Class of Holling Model with Functional Responses

考虑捕食者无密度制约，食饵具有非线性密度制约的第３类Ｈｏｌｉｎｇ功能性反应捕食者－食饵系统，对该系统给出了完整的定性分析，证明了该系统至多有一个极限环。

Considering a class of Ⅲ-Holling model with functional responses and proving that it has at most one limit cycle if and only if the singular point is unstable.