New results for triangular reaction cross diffusion system

• DOI: 10.1016/j.jmaa.2015.03.078
• Publication Date: 2015-04-06T03:06:18Z
• Authors: L. Desvillettes; A. Trescases
• Keywords: Reaction–diffusion system; Duality (order theory)

We present an approach based on entropy and duality methods for triangular reaction cross diffusion systems of two equations, in which cross diffusion terms appear only in one of the equations. Thanks to this approach, we recover and extend many existing results on the classical triangular Shigesada-Kawasaki-Teramoto model.