| 一类具有阶段结构和脉冲效应的捕食者-食饵模型的动力学分析 |
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| 引用本文： | 向中义. 一类具有阶段结构和脉冲效应的捕食者-食饵模型的动力学分析[J]. 生物数学学报, 2010, 0(2): 257-266 |
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| 作者姓名： | 向中义 |
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| 作者单位： | 湖北民族学院数学系,湖北恩施445000 |
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| 基金项目： | 湖北省自然科学基金（2008CDB075）;湖北省优秀中青年人才项目（Q20L01903）;湖北省高等学校科研团队项目（T200804） |
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| 摘 要： | 研究了一个捕食者具有阶段结构,食饵具有脉冲效应和时滞的捕食者-食饵模型.利用离散动力系统的频闪映射,我们获得了捕食者-灭绝的周期解同时给出了该周期解全局吸引的充分条件.利用时滞脉冲微分方程的理论,得到了系统持续生存的充分条件.
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| 关 键 词： | 持续生存 全局吸引 揣食者-食饵阶段结构模型 脉冲效应 时滞 |
Dynamic Analysis of a Stage-Structured Predator-Prey Modes with Time and Impulsive Effect |
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| XIANG Zhong-yi. Dynamic Analysis of a Stage-Structured Predator-Prey Modes with Time and Impulsive Effect[J]. Journal of Biomathematics, 2010, 0(2): 257-266 |
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| Authors: | XIANG Zhong-yi |
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| Affiliation: | XIANG Zhong-yi (Department of Mathematics, Hubei Institute for Nationalities, Enshi Hubei 445000 China) |
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| Abstract: | A delayed stage-structured predator-prey model with stage structure for the predator and impulsive effect for the prey is proposed and investigated. By use of the discrete dynamical system determined by the stroscopic map, we obtian a ＇predator-extinction＇periodicsolution and sufficient conditions of the global i~ttractivity. By using the theory on delay functional and impulsive differential equation, we obtian sufficient condition for the permanence of the system. |
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| Keywords: | Permanence Global attractivity Stage-structured predator-prey model Time delay Impulsive effect |
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