| 一类Lotka-Volterra互惠扩散系统的概周期解和全局稳定性 |
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| 引用本文： | 魏凤英,王守和.一类Lotka-Volterra互惠扩散系统的概周期解和全局稳定性[J].数学研究及应用,2010,30(6):1108-1116. |
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| 作者姓名： | 魏凤英 王守和 |
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| 作者单位： | 福州大学数学与计算机科学学院, 福建 福州 350108;福州大学数学与计算机科学学院, 福建 福州 350108 |
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| 基金项目： | 国家自然科学基金(Grant No.1726062),福建省自然科学基金(Grant No.2010J01005),福州大学科技发展基金(Grant No. 2010-XQ-24). |
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| 摘 要： | In this paper a nonautonomous two-species n-patches system is studied.Within each patch,there are two cooperative species and their dynamics are described by the LotkaVolterra model.Each species can diffuse independently and discretely between its interpatch and intrapatch.By constructing a suitable Liapunov function,some sufficient conditions are obtained for the existence of a unique globally asymptotically stable positive almost periodic solution.
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| 关 键 词： | almost periodic solution global stability cooperative diffusion. |
| 收稿时间： | 2008/10/20 0:00:00 |
| 修稿时间： | 2009/5/16 0:00:00 |
Almost Periodic Solution and Global Stability for Cooperative L-V Diffusion System |
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| Feng Ying WEI and Shou He WANG.Almost Periodic Solution and Global Stability for Cooperative L-V Diffusion System[J].Journal of Mathematical Research with Applications,2010,30(6):1108-1116. |
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| Authors: | Feng Ying WEI and Shou He WANG |
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| Institution: | College of Mathematics and Computer Science,Fuzhou University,Fujian 350108,P.R.China |
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| Abstract: | In this paper a nonautonomous two-species $n$-patches system is studied. Within each patch, there are two cooperative species and their dynamics are described by the Lotka-Volterra model. Each species can diffuse independently and discretely between its interpatch and intrapatch. By constructing a suitable Liapunov function, some sufficient conditions are obtained for the existence of a unique globally asymptotically stable positive almost periodic solution. |
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| Keywords: | almost periodic solution global stability cooperative diffusion |
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