具功能性反应函数的食饵-捕食系统的定性分析

Qualitative Analysis on Class of Two Species Predator-prey System with Functional Response

研究了具功能性反应函数的食饵-捕食2种群模型.在g(x)=a-bxm,φ(x)=cxθ及m+θ=1的情形下,分别讨论了各类系统的平衡点状态,并得到了极限环存在性与唯一性的相关条件.

This paper studies a class of two species predator-prey model with functional response. When g（x）=a-bx^m,φ（x）=cx^θ and m＋θ=1 , this paper discusses respectively the equilibrium point behaviors of every system and obtains the existence of limit cycle and the relative conditions for uniqueness.