| n斑块内非自治L-V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,雷慧榕.n斑块内非自治L-V互惠扩散系统的概周期解和全局稳定性[J].福州大学学报(自然科学版),2011,39(4):476-479. |
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| 作者姓名： | 魏凤英 雷慧榕 |
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| 作者单位： | 福州大学数学与计算机科学学院; |
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| 基金项目： | 福建省自然科学基金资助项目(2010J01005); 福州大学科技发展基金资助项目(2010-XQ-24);福州大学人才基金资助项目(0030824983) |
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| 摘 要： | 考虑在n个斑块中,两个互惠物种的非自治L-V模型,并且两个物种中每个物种都能在自己的斑块内部和外部独立地扩散,利用构造Liapunov函数,在适当的条件下得到了该系统存在唯一一个全局渐近稳定的概周期解,推广了已有的结果.
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| 关 键 词： | 互惠系统 扩散 概周期解 全局稳定 |
Almost periodic solution and stability for nonautonomous cooperative L-V diffusion systems in n-patches |
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| WEI Feng-ying,LEI Hui-rong.Almost periodic solution and stability for nonautonomous cooperative L-V diffusion systems in n-patches[J].Journal of Fuzhou University(Natural Science Edition),2011,39(4):476-479. |
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| Authors: | WEI Feng-ying LEI Hui-rong |
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| Institution: | WEI Feng-ying,LEI Hui-rong (College of Mathematics and Computer Science,Fuzhou University,Fuzhou,Fujian 350108,China) |
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| Abstract: | Two-species cooperative L-V systems with n-patch and diffusion were considered in this paper.Each of the two species could diffuse independently and discretely between its intrapatch and interpatch.By means of constructing a suitable Liapunov function,under moderate condition,we obtained that the systems had a unique almost periodic solution which was globally and asymptotically stable. |
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| Keywords: | cooperative system diffusion almost periodic solution global stability |
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