| 具有连续时滞的渐近周期Lotka-Volterra斑块系统的持久性和全局稳定性 |
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| 引用本文： | 崔凤午,魏凤英. 具有连续时滞的渐近周期Lotka-Volterra斑块系统的持久性和全局稳定性[J]. 东北师大学报(自然科学版), 2006, 38(4): 13-16 |
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| 作者姓名： | 崔凤午 魏凤英 |
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| 作者单位： | 1. 白城师范学院数学系,吉林,白城,137000
2. 福州大学数学与计算机科学学院,福建,福州,350002 |
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| 摘 要： | 通过对渐近周期Lotka-Volterra斑块系统的研究发现,在适当的条件下,渐近周期Lotka-Volterra斑块系统是一致持久的;通过构造合适的Liapunov泛函,得到了渐近周期Lotka-Volterra斑块系统是全局稳定的结论.
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| 关 键 词： | 渐近周期 时滞 一致持久性 全局稳定性 |
| 文章编号： | 1000-1832（2006）04-0013-04 |
| 收稿时间： | 2005-07-20 |
| 修稿时间： | 2005-07-20 |
Persistence and global stability for asymptotically periodic Lotka-Volterra patch-systems with continuous delay |
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| CUI Feng-wu,WEI Feng-ying. Persistence and global stability for asymptotically periodic Lotka-Volterra patch-systems with continuous delay[J]. Journal of Northeast Normal University (Natural Science Edition), 2006, 38(4): 13-16 |
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| Authors: | CUI Feng-wu WEI Feng-ying |
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| Affiliation: | 1. Department of Mathematics, Baicheng Normal College, Baicheng 137000, China; 2. College of Mathematics and Computer Science, Fuzhou University, Fuzhou 350002, China |
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| Abstract: | It is discussed to the persistence and global stability of an asymptotically periodic Lotka-Volterra patch-systems with continuous delay in this paper.Under the suitable conditions,uniform persistence of Lotka-Volterra patch-systems is derived.By constructing moderate Liapunov functional,obtained asymptotically periodic Lotka-Volterra patch-systems are globally stable. |
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| Keywords: | asymptotically periodic time delay uniform persistence global stability |
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