一类具非线性密度制约的食饵——捕食者模型的定性分析

A Qualitative Analysis of a Class of Predator-prey System with Nonlinear Density Dependence

本文对具功能反应和非线性密度制约的一类食饵——捕食者模型进行了定性分析,讨论了正平衡点的存在性和稳定性,以及极限环的存在条件。

This paper makes a qualitative analysis of a class of predator-prey model with functional response and nonlinear density dependence.The existence and the stability of the positive equilibrium point of the system are discussed as well as conditions of the existence and the stability of limit cycles.