Pattern formation in a cross-diffusion system

Yuan Lou; Wei Ming Ni; Shoji Yotsutani

doi:10.3934/dcds.2015.35.1589

Pattern formation in a cross-diffusion system

Yuan Lou, Wei Ming Ni, Shoji Yotsutani

Mathematics

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41 Scopus citations

Abstract

In this paper we study the Shigesada-Kawasaki-Teramoto model [17] 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)
Pages (from-to)	1589-1607
Number of pages	19
Journal	Discrete and Continuous Dynamical Systems- Series A
Volume	35
Issue number	4
DOIs	https://doi.org/10.3934/dcds.2015.35.1589
State	Published - Apr 1 2015

Keywords

Competition
Density-dependent diffusion
Existence
Stability
Steady states

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KW - Existence

KW - Stability

KW - Steady states

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Pattern formation in a cross-diffusion system

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Keywords

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