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Pattern formation in a cross-diffusion system

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  • 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.
    Mathematics Subject Classification: Primary: 35B40, 35K57; Secondary: 92D25, 92D40.


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