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Global Asymptotic Stability of 3-Species Mutualism Models with Diffusion and Delay Effects

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  • Chang-you Wang
  • Shu Wang
  • Xiang-ping Yan

Abstract

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.

Suggested Citation

  • Chang-you Wang & Shu Wang & Xiang-ping Yan, 2009. "Global Asymptotic Stability of 3-Species Mutualism Models with Diffusion and Delay Effects," Discrete Dynamics in Nature and Society, Hindawi, vol. 2009, pages 1-20, August.
    • Handle: RePEc:hin:jnddns:317298
    DOI: 10.1155/2009/317298
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