Dynamic Analysis of a Predator-Prey Model with Holling-II Functional Response

Jiemin Mo, Wanying Li, Donghuan He, Songbo Wang, Xiaoliang Zhou
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Abstract

A predator-prey model with linear capture term Holling-II functional response was studied by using differential equation theory. The existence and the stabilities of non-negative equilibrium points of the model were discussed. The results show that under certain limited conditions, these two groups can maintain a balanced position, which provides a theoretical reference for relevant departments to make decisions on ecological protection.
具有Holling-II功能响应的捕食者-猎物模型的动态分析
利用微分方程理论研究了具有线性捕获项Holling-II泛函响应的捕食者-猎物模型。讨论了模型非负平衡点的存在性和稳定性。结果表明,在一定的有限条件下,这两个群体可以保持一个平衡的位置,这为有关部门做出生态保护决策提供了理论参考。
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