Open AccessPattern formation in a cross-diffusion system
Author(s) -
Yuan Lou,
WeiMing Ni,
Shoji Yotsutani
Publication year - 2014
Publication title -
discrete and continuous dynamical systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.289
H-Index - 70
eISSN - 1553-5231
pISSN - 1078-0947
DOI - 10.3934/dcds.2015.35.1589
Subject(s) - diffusion , constant (computer programming) , zero (linguistics) , mathematics , mathematical analysis , physics , statistical physics , computer science , thermodynamics , philosophy , linguistics , programming language
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.
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