Journal of Applied Mathematics
Volume 2008 (2008), Article ID 537284, 17 pages
Asymptotic Behavior of a Competition-Diffusion System with Variable Coefficients and Time Delays
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
Academic Editor: Malgorzata Peszynska
Copyright © 2008 Miguel Uh Zapata 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.
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.