| 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 |
| 一类Lotka-Volterra互惠扩散系统的概周期解和全局稳定性 |
| Almost Periodic Solution and Global Stability for Cooperative L-V Diffusion System |
| 投稿时间：2008-10-20 修订日期：2009-05-16 |
| DOI：10.3770/j.issn:1000-341X.2010.06.021 |
| 中文关键词: 概周期解 全局稳定 互惠 扩散. |
| 英文关键词:almost periodic solution global stability cooperative diffusion. |
| 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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| 中文摘要: |
| 本文研究了一类非自治的两种群$n$斑块互惠系统. 在每一个斑块内部有两个种群, 它们之间是Lotka-Volterra互惠的, 而且每一个种群都能在自己斑块的内部和外部独立的扩散, 通过构建一个合适的Liapunov 函数, 我们得到了一些保证系统有惟一一个全局渐近稳定的正概周期解的充分条件. |
| 英文摘要: |
| 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 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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