Electron. J. Diff. Eqns., Vol. 2003(2003), No. 72, pp. 1-12.

Shigesada-Kawasaki-Teramoto model on higher dimensional domains

Dung Le, Linh Viet Nguyen, & Toan Trong Nguyen

Abstract:
We investigate the existence of a global attractor for a class of triangular cross diffusion systems in domains of any dimension. These systems includes the Shigesada-Kawasaki-Teramoto (SKT) model, which arises in population dynamics and has been studied in two dimensional domains. Our results apply to the (SKT) system when the dimension of the domain is at most 5.

Submitted June 15, 2003. Published June 27, 2003.
Math Subject Classifications: 35K57, 35B65.
Key Words: Cross diffusion systems, global attractors.

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Dung Le
Department of Applied Mathematics
University of Texas at San Antonio
6900 North Loop 1604 West
San Antonio, TX 78249, USA
email: dle@math.utsa.edu
  Linh Viet Nguyen
Department of Mathematics
National University of Saigon
Hochiminh city, Vietnam
  Toan Trong Nguyen
Department of Mathematics
National University of Saigon
Hochiminh city, Vietnam
email: nttoan@math.hcmc.edu

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