【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Holling Ⅱ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函数得到了保证周期解稳定性的充分性条件．更多还原

【Abstract】 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.更多还原