Almost Periodic Solution and Global Stability for Cooperative L-V Diffusion System 被引量：1

Almost Periodic Solution and Global Stability for Cooperative L-V Diffusion System

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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. 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.

作者 Feng Ying WEI Shou He WANG

机构地区 College of Mathematics and Computer Science

出处《Journal of Mathematical Research and Exposition》 CSCD 2010年第6期1108-1116,共9页 数学研究与评论（英文版）

基金 Supported by the National Natural Science Foundation of China (Grant No.10726062) the Natural Science Foundation of Fujian Province (Grant No.2010J01005) the Science and Technology Development Foundation of Fuzhou University (Grant No.2010-XQ-24)

关键词 almost periodic solution global stability COOPERATIVE diffusion. almost periodic solution global stability cooperative diffusion.

分类号 O175.14 [理学—基础数学]

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