| 一类扩散具有时滞模型的持久性和周期解 |
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| 引用本文： | 张为锋.一类扩散具有时滞模型的持久性和周期解[J].太原师范学院学报(自然科学版),2006,5(2):22-27. |
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| 作者姓名： | 张为锋 |
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| 作者单位： | 太原大学外语师范学院,数学系,山西,太原,030012 |
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| 摘 要： | 研究了一类扩散具有时滞的非自治捕食系统的持久生存与周期解问题，利用微分不等式和Liapunov泛函的方法得到了该系统持久生存与周期解全局吸引的充分条件．
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| 关 键 词： | 扩散 时滞 持久生存 捕食系统 周期解 |
| 文章编号： | 1672-2027（2006）02-0022-06 |
| 收稿时间： | 2006-03-21 |
| 修稿时间： | 2006年3月21日 |
Persistence and Periodic Solutions for a Model with Delayed Dispersal |
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| Zhang Weifeng.Persistence and Periodic Solutions for a Model with Delayed Dispersal[J].Journal of Taiyuan Normal University:Natural Science Edition,2006,5(2):22-27. |
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| Authors: | Zhang Weifeng |
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| Institution: | Department of Mathematics,Foreign Language Normal College of Taiyuan University,Taiyuan 030012,China |
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| Abstract: | An nonautonomous predator-prey model with delayed dispersal is investigated. The sufficient conditions for persistence and global attractivity of peridic solutions are obtained by means of using differential inequality and constructing suitable Lyapunov function. |
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| Keywords: | diffusion delays persistence predator-prey model periodic solutions |
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