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Diffusion driven instability in an inhomogeneous domain

Abstract:

Diffusion driven instability in reaction-diffusion systems has been proposed as a mechanism for pattern formation in numerous embryological and ecological contexts. However, the possible effects of environmental inhomogeneities has received relatively little attention. We consider a general two species reaction-diffusion model in one space dimension, with one diffusion coefficient a step function of the spatial coordinate. We derive the dispersion relation and the solution of the linearized s...

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Publication date:
1993-01-01
UUID:
uuid:a89d8ed8-6e4e-41e0-ba89-101a517dfdb5
Local pid:
oai:eprints.maths.ox.ac.uk:512
Deposit date:
2011-05-19

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