Mutual inclusion in a nonlocal competitive Lotka Volterra system

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• 作者：Xiaojie Hou (1)
  Biao Wang (2)
  Zhengce Zhang (2)
  
• 关键词：Nonlocal Lotka Volterra ; Traveling front ; Asymptotic behavior ; Uniqueness ; Primary 35B35 ; Secondary 91B18 ; 35K57 ; 35B40
• 刊名：Japan Journal of Industrial and Applied Mathematics
• 出版年：2014
• 出版时间：February 2014
• 年：2014
• 卷：31
• 期：1
• 页码：87-110
• 全文大小：261 KB
• 作者单位：Xiaojie Hou (1)
  Biao Wang (2)
  Zhengce Zhang (2)
  
  1. Department of Mathematics and Statistics, University of North Carolina Wilmington, NC, 28403, USA
  2. School of Mathematics and Statistics, Xi鈥檃n Jiaotong University, Xi鈥檃n, 710049, China
  
• ISSN：1868-937X

文摘

We investigate the traveling front solutions of a nonlocal Lotka Volterra system to illustrate the outcome of the competition between two species. The existence of the front solution is obtained through a new monotone iteration scheme, the uniqueness of the front solution corresponding to each propagation speed is proved by sliding domain method adapted to nonlocal systems, and the asymptotic decay rate of the fronts with critical and noncritical wave speeds is derived by a new method, which is different from the single equation case. The results demonstrate that in the long run, two weakly competing species can co-exist.