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Discrete Dynamics in Nature and SocietyVolume 2009 2009, Article ID 317298, 20 pages

Research Article

College of Mathematics and Physics, Chongqing University of Posts and Telecommunications, Chongqing 400065, China

Key Laboratory of Network control and Intelligent Instrument, Chongqing University of Posts and Telecommunications, Ministry of Education, Chongqing 400065, China

College of Applied Sciences, Beijing University of Technology, Beijing 100124, China

Department of Mathematics, Lanzhou Jiaotong University, Lanzhou 730070, China

Received 21 March 2009; Accepted 6 June 2009

Academic Editor: Leonid Berezansky

Copyright © 2009 Chang-you Wang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

In this paper, the Lotka-Volterra 3-species mutualism modelswith diffusion and delay effects is investigated. A simple and easilyverifiable condition is given to ensure the global asymptotic stability ofthe unique positive steady-state solution of the corresponding steady-stateproblem in a bounded domain with Neumann boundary condition. Ourapproach to the problem is based on inequality skill and the method of theupper and lower solutions for a more general reaction—diffusion system. Finally, some numerical simulations are given to illustrate our results.





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

Source: https://www.hindawi.com/



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