摘要
本文对较一般的一类捕食者──食饵模型进行了定性分析,得到了正平衡点全局稳定性的条件,以及一个新的极限环存在唯一性定理。具体例子表明本文的结果有广泛的应用价值。
The qulitative analysis of predator-prey model with constant-rate prey stocking is discussed.Conditions respectively for the global stability of positive equilibrium point and for the existence and uniqueness of a limit cycle around the positive equilibrium point are obtained. A concrete instance shows that the achieved results may be widely applied.