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

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Abstract In 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… Click to show full abstract

Abstract In 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.

Keywords: model; state solutions; steady state; triangular cross; cross diffusion

Journal Title: Journal of Differential Equations
Year Published: 2017

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