Electronic Journal of Differential Equations (Jun 2003)

Shigesada-Kawasaki-Teramoto model on higher dimensional domains

  • Dung Le,
  • Linh Viet Nguyen,
  • Toan Trong Nguyen

Journal volume & issue
Vol. 2003, no. 72
pp. 1 – 12

Abstract

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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.

Keywords