具功能性反应的食饵与捕食者两种群模型的定性分析

Qualitative Analysis of a kind of Prey-Predator Model with Holline's Type Ⅱ Functional Response

本文的主要工作是对捕食者种群具有HollingⅡ型功能性反应、食饵种群具有常数存放率的食饵和捕食者两种群模型进行了定性分析,研究了平衡点的性态及不平衡点外围极限环的情况,得到了该模型极限环不存在与极限环存在唯一的条件。

This paper studies the system of a prey-predator with Holling's type Ⅱ functional response of predator and constant stocking rate of prey. The author obtains the conditions of the existence and uniqueness of limit cycles and the condition under which there is no limit cycle.