| 一类互惠模型的持续生存与周期解 |
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| 引用本文： | 向红,张小兵,孟新友.一类互惠模型的持续生存与周期解[J].兰州铁道学院学报,2009,28(4):156-158. |
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| 作者姓名： | 向红 张小兵 孟新友 |
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| 作者单位： | 兰州理工大学应用数学系,甘肃兰州,730050 |
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| 基金项目： | 教育部科学技术研究重点项目，甘肃省高校研究生导师基金 |
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| 摘 要： | 研究了一类互惠共存的生物模型,利用比较原理、不动点定理和Lyapunov函数得到了此模型持续生存和存在唯一全局吸引周期解的容易验证的充分条件.
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| 关 键 词： | 互惠 持久 周期解 全局吸引 |
Permanence and Periodic Solution for a Model of Mutualism |
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| XIANG Hong,ZHANG Xiao-bing,MENG Xin-you.Permanence and Periodic Solution for a Model of Mutualism[J].Journal of Lanzhou Railway University,2009,28(4):156-158. |
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| Authors: | XIANG Hong ZHANG Xiao-bing MENG Xin-you |
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| Institution: | (Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou 730050,China) |
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| Abstract: | A differential equation model of mutualism is investigated.By the comparison theorem,fixed point theorem and Lyapunov function,the sufficient conditions for permanence and the global attractivity of periodic solution are presented. |
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| Keywords: | mutualism permanence periodic solution global attractivity |
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