| 捕食者具有阶段结构的食饵-捕食系统的研究 |
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| 引用本文： | 何其慧.捕食者具有阶段结构的食饵-捕食系统的研究[J].合肥工业大学学报(自然科学版),2009,32(4). |
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| 作者姓名： | 何其慧 |
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| 作者单位： | 安徽经济管理干部学院,基础教学部,安徽,合肥,230059 |
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| 摘 要： | 文章讨论了一类捕食者具有阶段结构的非自治捕食者-食饵系统,运用Lyapunov函数方法,得到了该系统一致持续生存的条件;对于该模型的周期系统,在适当的条件下,存在唯一、全局渐近稳定的周期解.
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| 关 键 词： | 阶段结构 持续生存 周期解 全局渐进稳定 |
Study on a predator-prey system with stage-structure for predator |
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| HE Qi-hui.Study on a predator-prey system with stage-structure for predator[J].Journal of Hefei University of Technology(Natural Science),2009,32(4). |
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| Authors: | HE Qi-hui |
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| Institution: | Dept.of Basic Courses;Anhui Institute of Economic Management;Hefei 230059;China |
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| Abstract: | This paper considers a kind of nonautonomous predator-prey system with stage-structure for predator.The sufficient conditions for guaranteeing the permanence of the system are obtained by the Lyapunov method.Then the existence,uniqueness and global asymptotic stability of the positive periodic solutions for corresponding periodic system are also discussed. |
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| Keywords: | stage-structure permanent existence periodic solution global asymptotic stability |
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