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中文摘要：
利用重合度理论中的延拓定理讨论了捕食者具有阶段结构HollingⅡ类功能性反应的捕食模型的正周期解的存在性，得到了保证周期解存在的充分性条件，推广了已知的相关结果．同时通过构造Lyapunov函数得到了广保证周期解稳定性的充分性条件．
英文摘要：
By using a continuation theorem based on Gaines and Mawhin＇s coincidence degree, the authors study the global exisence of ：positive periodic solutions of a delayed predator-prey system with Holling II type response and stage structure for predator. A set of easily verifiable sufficient conditions is obtained, which improves some known results. Also, by constructing a suitable Lyapunov function, sufficient conditions which guarantee the global attractivity of the positive periodic solution are obtained.
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