A Disc-Cutting Theorem and Two-Dimensional Bifurcation of a Reaction-Diffusion System with Inclusions

Martin V¨ath

A Disc-Cutting Theorem and Two-Dimensional Bifurcation of a Reaction-Diffusion System with Inclusions

Martin V¨ath vaeth@mathematik.uni-wuerzburg.de

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Abstract

We provide a topological disc-cutting theorem which allows to prove that unilateral inclusions in a reaction-diffusion system of prey-predator type with a two-dimensional bifurcation parameter necessarily have a certain global branch of (global) bifurcation points.

Keywords

Global bifurcation , two-dimensional bifurcation , elliptic equation , inclusion , Laplace operator

Martin V¨ath University of W¨urzburg, Math. Institut Am Hubland, D-97074 W¨urzburg, Germany.

Pages: 85–100
Date Published: 2008-12-01
Vol. 10 No. 4 (2008): CUBO, A Mathematical Journal

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Published

2008-12-01

How to Cite

[1]

M. V¨ath, “A Disc-Cutting Theorem and Two-Dimensional Bifurcation of a Reaction-Diffusion System with Inclusions”, CUBO, vol. 10, no. 4, pp. 85–100, Dec. 2008.