| 具有Allee效应与脉冲扩散的捕食系统的动力学分析 |
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| 引用本文： | 刘霞,刘艳伟.具有Allee效应与脉冲扩散的捕食系统的动力学分析[J].河南师范大学学报(自然科学版),2011,39(5):24-27. |
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| 作者姓名： | 刘霞 刘艳伟 |
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| 作者单位： | 1. 河南师范大学数学与信息科学学院,河南新乡,453007
2. 周口师范学院数学系,河南周口,466001 |
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| 基金项目： | 河南省教育厅自然科学基金项目(2010A520050); 河南师范大学博士科研启动费支持课题(1001) |
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| 摘 要： | 提出了一类被捕食者具有Allee效应,捕食者具有脉冲扩散的微分系统.利用脉冲微分方程的比较原理和相关理论分别讨论了系统的被捕食者-灭绝周期解的存在性、局部稳定性及全局吸引性.
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| 关 键 词： | 全局吸引 脉冲扩散 Allee效应 被捕食者控制 |
Dynamics Analysis of a Pest Management System with Allee Effect and Impulsive Eiffusion |
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| LIU Xia,LIU Yan-wei.Dynamics Analysis of a Pest Management System with Allee Effect and Impulsive Eiffusion[J].Journal of Henan Normal University(Natural Science),2011,39(5):24-27. |
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| Authors: | LIU Xia LIU Yan-wei |
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| Institution: | LIU Xia1,LIU Yan-wei2(1.College of Mathematics and Information Science,Henan Normal University,Xinxiang 453007,China,2.Department of Mathematics,Zhoukou Normal University,Zhoukou 466001,China) |
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| Abstract: | A predator-prey system with Allee effect on prey and impulsive dispersion on predator is investigated.By using the comparision principle and relevance theories of implusive differential equations,the paper has discussed the existence,asymptotically stable and globally attractive of prey-extinction positive periodic solution of the system. |
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| Keywords: | global attraction impulsive diffusion allee effect pest management |
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