一类具有常数收获率的Kolmogorov模型的定性分析

The qualitative analysis of rare harvesting with Kolmogorov functional response

对食饵种群在密度制约条件下,两种群具有常数收获率的一类特殊的Kolmogorov模型进行分析,讨论平衡点的定性性质,得到闭轨不存在的条件及极限环存在的判定条件。

It gives a complete qualitative analysis to a predator-prey with constant rate harvesting under kolmogorov functional response in dense restrict prey system. Discussing the conditions of the balance point, it obtains the conditions of inexistence of the dose curve, and the conditions of existence of the limit cycle.