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July 2008 Reaction-diffusion system approximation to the cross-diffusion competition system
Hirofumi Izuhara, Masayasu Mimura
Hiroshima Math. J. 38(2): 315-347 (July 2008). DOI: 10.32917/hmj/1220619462

Abstract

We study the stationary problem of a reaction-diffusion system with a small parameter $\varepsilon$, which approximates the cross-diffusion competition system proposed to study spatial segregation problem between two competing species. The convergence between two systems as $\varepsilon \downarrow 0$ is discussed from analytical and complementarily numerical point of views.

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Hirofumi Izuhara. Masayasu Mimura. "Reaction-diffusion system approximation to the cross-diffusion competition system." Hiroshima Math. J. 38 (2) 315 - 347, July 2008. https://doi.org/10.32917/hmj/1220619462

Information

Published: July 2008
First available in Project Euclid: 5 September 2008

zbMATH: 1162.35387
MathSciNet: MR2437576
Digital Object Identifier: 10.32917/hmj/1220619462

Subjects:
Primary: 35J55, 35K55, 35K57, 92D25

Rights: Copyright © 2008 Hiroshima University, Mathematics Program

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Vol.38 • No. 2 • July 2008
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