以营养动力学为基础的具有Ⅲ类功能性反应的捕食模型的定性分析

The qualitative analysis on a mathematical model of predator basod upon the theory of nutrition kineties and its functional responseIII to the prey

崔启武曾提出了一个以营养动力学为基础的捕食系统的数学模型，本文给出了功能性反应函数为第Ⅲ类时在区域：内的定性分析，得出了系统（１）在Ｄ内正半轨线的有界性，正平衡位置在Ｄ内的大范围稳定性和极限环的存在唯一性．

In this paper, we analysis the model of predator based upon the theory of nutritionkineties (1). We dissect: Boundedness or its Positive semi-trajectory with .positive initial,Stability of its positive equilibria, Existence and uniqueness of its limit cycle in D.