一类具功能反应的食饵-捕食系统定性分析

The Qualitative Analysis of a Kind of Food-Predator Systems with Functional Response

本文对具功能反应的食饵-捕食系统进行定性分析,讨论了系统.x=x(a-bxα)-kxβy,.y=y(-d+ekxβ)在α≥β>0的参数条件下平衡点的性态,极限环的存在性,不存在性与唯一性.

This paper deals with a kind of food-predator system with parameter：x = x（a - bx^a） - ka^βy, y = y（-d ＋ekx^β） . The properties of equilibrium, the existence, non-existence and uniqueness of a limit cycle in the condition of α≥β〉0 are obtained.