| 具有连续时滞和基于比率的非自治捕食扩散系统的持续生存 |
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| 引用本文： | 贾建文.具有连续时滞和基于比率的非自治捕食扩散系统的持续生存[J].大学数学,2005,21(6):36-41. |
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| 作者姓名： | 贾建文 |
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| 作者单位： | 山西师范大学数学与计算机科学学院,山西临汾041004 |
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| 基金项目： | the Shanxi Young Science and Technology Foundation.（20021004） |
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| 摘 要： | 研究具有连续时滞和基于比率的非自治捕食扩散系统.证明了该系统一致持久性及任何正解全局渐近稳定性的充分条件.
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| 关 键 词： | 时滞 扩散 一致持久性 全局渐近稳定性 |
| 文章编号： | 1672-1454（2005）06-0036-06 |
| 收稿时间： | 2004-06-28 |
| 修稿时间： | 2004年6月28日 |
Persistence for Nonautonomous Ratio-Dependent Predator-Prey Patch System with Continuous Time Delay |
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| JIA Jian-wen.Persistence for Nonautonomous Ratio-Dependent Predator-Prey Patch System with Continuous Time Delay[J].College Mathematics,2005,21(6):36-41. |
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| Authors: | JIA Jian-wen |
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| Abstract: | A nonautonomous two-species ratio-dependent predator-prey diffusion model with continuous time delay is discussed. It is shown that the system is permanent under some appropriate conditions. Further, sufficient conditions are obtained for globally asymptotical stability of the system. |
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| Keywords: | time delay diffusion uniform persistence global asymptotic stability |
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