| 一类食饵具有性别结构的非自治两种群捕食系统研究 |
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| 引用本文： | 徐长永,王美娟,刘妍,鲁铁军.一类食饵具有性别结构的非自治两种群捕食系统研究[J].上海理工大学学报,2008,30(5). |
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| 作者姓名： | 徐长永 王美娟 刘妍 鲁铁军 |
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| 作者单位： | 1. 上海第二工业大学经济管理学院,上海,201209
2. 上海理工大学理学院,上海,200093 |
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| 摘 要： | 讨论了一类具有食饵补充且食饵具有性别结构、捕食者具有阶段结构的非自治捕食者-食饵系统．运用Liapunov函数方法，得到了该系统一致持续生存的充分条件．该模型的周期系统在适当的条件下存在唯一、全局渐近稳定的周期解．对更具普遍意义的概周期系统，也得出了概周期正解唯一存在且全局渐近稳定的充分条件．
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| 关 键 词： | 捕食者-食饵系统 阶段结构 性别结构 持续生存 周期解 概周期解 |
Study on a nonautonomous system of two species predator-prey system with sex-stucture of prey |
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| XU Chang-yong,WANG Mei-juan,LIU Yan,LU Tie-jun.Study on a nonautonomous system of two species predator-prey system with sex-stucture of prey[J].Journal of University of Shanghai For Science and Technology,2008,30(5). |
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| Authors: | XU Chang-yong WANG Mei-juan LIU Yan LU Tie-jun |
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| Abstract: | A kind of nonautonomous system of two species predatorprey system with sexstucture of prey and holding prey supplement is considered.The sufficient conditions are obtained for guaranteeing the permanence of the system by Liapunov method.Then the existence and uniqueness of the positive periodic solutions and positive almost periodic solutions for corresponding periodic system and almost periodic systems are also discussed. |
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| Keywords: | predator-prey system stage-structure sex-stucture permanence periodic solution almost periodic solution |
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