【摘要】 本文对具Holling Ⅲ型功能性反应的食饵-捕食者两种群微分方程模型进行定性分析,得到了非平凡平衡点全局稳定性的条件,正平衡点周围存在唯一极限环的条件;同时,对这些条件的生态意义加以讨论。作者们相信这些条件在文献中还是新的。更多还原

【Abstract】 This paper is devoted to the qualitative analysis of two species pre-dator-prey model with Holling’s type III functional respoase ,Gonditionsfor the global stability of nontrivial of nontrivial equilibrium points and conditions forthe existence and uniqueness of limit cycles around the positive equilibriumpoint are obtained. The biological interpretations of these conditions arediscussed The authors believe that conditions established in this paper arenew to literature.更多还原