中文摘要：

本文应用常微分方程定性分析的方法来研究一类捕食者-食饵模型,讨论了系统平衡点存在性、局部渐近稳定性、极限环存在性。

英文摘要：

In this paper,qualitative analysis of ordinary differential equations is applied to study a kind of predator-prey models.Sufficient criteria are established for the local stability,the existence of the equilibrium points of system and limit cycle.