| 一类具有阶段结构的非自治捕食-食饵系统的持久性与周期解 |
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| 引用本文： | 张安梅.一类具有阶段结构的非自治捕食-食饵系统的持久性与周期解[J].数学的实践与认识,2007,37(24):102-106. |
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| 作者姓名： | 张安梅 |
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| 作者单位： | 通化师范学院数学系,吉林,通化,134002 |
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| 摘 要： | 研究了一类具有阶段结构的非自治的捕食-食饵系统的渐近性质,得到了在适当条件下该系统的持久性,对应周期系统正周期解的存在性、唯一性以及全局渐近稳定性.
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| 关 键 词： | 阶段结构 捕食-食饵系统 持久性 周期解 |
| 修稿时间： | 2007年3月16日 |
Persistence and Periodic Solution for a Nonautonomous Stage-Structure Predator-prey System |
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| ZHANG An-mei.Persistence and Periodic Solution for a Nonautonomous Stage-Structure Predator-prey System[J].Mathematics in Practice and Theory,2007,37(24):102-106. |
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| Authors: | ZHANG An-mei |
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| Abstract: | We study the amyptotic properties of the solution for a class of nonautonomous stage structured predator prey systems.It is shown that the system is permanent under some appropriate conditions,and sufficient conditions are established for existence uniqueness and stability of positive periodic solutions with respect to the corresponding periodic system. |
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| Keywords: | stage structure predator-prey systems persistence periodic solution |
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