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  • 标题:Global Asymptotic Stability of 3-Species Mutualism Models with Diffusion and Delay Effects
  • 本地全文:下载
  • 作者:Chang-you Wang ; Shu Wang ; Xiang-ping Yan
  • 期刊名称:Discrete Dynamics in Nature and Society
  • 印刷版ISSN:1026-0226
  • 电子版ISSN:1607-887X
  • 出版年度:2009
  • 卷号:2009
  • DOI:10.1155/2009/317298
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this paper, the Lotka-Volterra 3-species mutualism models with diffusion and delay effects is investigated. A simple and easily verifiable condition is given to ensure the global asymptotic stability of the unique positive steady-state solution of the corresponding steady-state problem in a bounded domain with Neumann boundary condition. Our approach to the problem is based on inequality skill and the method of the upper and lower solutions for a more general reaction—diffusion system. Finally, some numerical simulations are given to illustrate our results.
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