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

Chang-you Wang, Shu Wang and Xiang-ping Yan

Discrete Dynamics in Nature and Society, 2009, vol. 2009, 1-20

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.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:317298

DOI: 10.1155/2009/317298

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