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中文摘要：
研究了一类具有功能性反应函数x^a/1＋βx^a捕食者-食饵模型，应用微分方程定性理论，讨论了该系统非负平衡点的性态以及正初始条件下解的有界性，得出了系统在参数变化范围内极限环的存在性与唯一性结论。
英文摘要：
A class of predator-prey model with the functional responsex^a/1＋βx^awas studied. The properties ofnon-negative equilibrium point and the boundedness of its solutions under positive initial conditions in this systemare discussed by using qualitative theory of differential equation, an existence and uniqueness of limit cycle withinthe change range of the parameters are obtained in the system.
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