Journal of Applied Mathematics 
Volume 2008 (2008), Article ID 537284, 17 pages
doi:10.1155/2008/537284
Research Article

Asymptotic Behavior of a Competition-Diffusion System with Variable Coefficients and Time Delays

Miguel Uh Zapata, Eric Avila Vales, and Angel G. Estrella

 Facultad de Matemáticas, Universidad Autónoma de Yucatán, Periférico Norte, Tablaje 13615, C.P. 97119, Mérida, Yucatán, Mexico
Received 26 June 2007; Accepted 15 January 2008

Recommended by Malgorzata Peszynska

Abstract

A class of time-delay reaction-diffusion systems with variable coefficients which arise from the model of two competing ecological species is discussed. An asymptotic global attractor is established in terms of the variable coefficients, independent of the time delays and the effect of diffusion by the upper-lower solutions and iteration method.