一类具功能反应的食饵-捕食者两种群模型的定性分析

A Qualitative Analysis of a Kind of Food with Functional Response-Two Group Types of Predators

研究了具功能反应的食饵-捕食者两种群模型:χ=χg(χ)一yψ(χ),y=y(-d+eψ(χ))在g(χ)和ψ(χ)都是非线性情形下,讨论了该系统的平衡点的性态,并证明了极限环的存在性与唯一性及其全局稳定性.

This paper introduces a kind of food with functional response-two group types of predators: x = xg(x) - y(x),y= y(-d+ e(x)).Based on the fact that g(x) and f(x) both are linear,discusses the quality of the equilibrium in this system, and proves the existence,the uniqueness and the global stability of the limit cycle in this system.