摘要
运用定性分析的方法，研究了一类具ＨｏｌｌｉｎｇⅢ型功能反应的捕食与被捕食系统模型，得到了模型在区域Ｄ＝｛（ｘ，ｙ）｜ｘ≥０，ｙ≥０；ｘ，ｙ∈Ｒ｝上的极限环的存在性与唯一性的结论。
A model of predator-prey system with Holling’s type Ⅲ functional responsewas studied by means of qualitical analysis, which resulted in such a conclusion that limitcyde around·the positive equilibrium was existent and unique。
关键词
非线性
常微分方程
极限环
存在性
HollingⅢ型
non-liner ordinary differential equations
limit cycles
existence
uniqueness/Holling's type Ⅲ
