Nonexistence of nonconstant steady-state solutions in a triangular cross-diffusion model

作者:Lou, Yuan; Tao, Youshan*; Winkler, Michael
来源:Journal of Differential Equations, 2017, 262(10): 5160-5178.
DOI:10.1016/j.jde.2017.01.017

摘要

this paper we study the Shigesada Kawasaki Teramoto model for two competing species with triangular cross-diffusion. We determine explicit parameter ranges within which the model exclusively possesses constant steady state solutions.