Asymptotic behavior of a competition-diffusion system with time delays

  • Authors:

  • Yifu Wang;Yijie Meng

  • Affiliations:

  • Department of Applied Mathematics, Beijing Institute of Technology Beijing, 100081, P.R. China;Department of Mathematics, Xiang Fan University Xiangfan, 441053, P.R. China

  • Venue:
  • Mathematical and Computer Modelling: An International Journal
  • Year:
  • 2003

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Abstract

In this paper, we study a class of reaction-diffusion systems modelling the dynamics of two competing species with time delay effects. The global asymptotic convergence is established in terms of the rate constants of reaction function, independent of the time delays and the effect of diffusion by the upper-lower solutions and iteration method.