Almost Periodic Solution and Global Stability for Cooperative L-V Diffusion System
Received:October 20, 2008  Revised:May 16, 2009
Key Words: almost periodic solution   global stability   cooperative   diffusion.  
Fund Project:Supported by the National Natural Science Foundation of China (Grant No.10726062), the Natural Science Foundation of Fujian Province (Grant No.2010J01005) and the Science and Technology Development Foundation of Fuzhou University (Grant No.2010-XQ-24).
Author NameAffiliation
Feng Ying WEI College of Mathematics and Computer Science, Fuzhou University, Fujian 350108, P. R. China 
Shou He WANG 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.
Citation:
DOI:10.3770/j.issn:1000-341X.2010.06.021
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