In this paper we study the Shigesada-Kawasaki-Teramoto model  for two competing species with cross-diffusion. We prove the existence of spectrally stable non-constant positive steady states for high-dimensional domains when one of the cross-diffusion coefficients is sufficiently large while the other is equal to zero.
|Original language||English (US)|
|Number of pages||19|
|Journal||Discrete and Continuous Dynamical Systems- Series A|
|State||Published - Apr 1 2015|
- Density-dependent diffusion
- Steady states