Analysis of pattern formation in reaction diffusion models with spatially inhomogenous diffusion coefficients

  • Benson D
  • Maini P
  • Sherratt J
  • 1

    Readers

    Mendeley users who have this article in their library.
  • N/A

    Citations

    Citations of this article.

Abstract

We consider a reaction diffusion system in one spatial dimension in which the diffusion coefficients are spatially varying. We present a non-standard linear analysis for a certain class of spatially varying diffusion coefficients and show that it accurately predicts the behaviour of the full nonlinear system near bifurcation. We show that the steady state solutions exhibit qualitatively different behaviour to that observed in the usual case with constant diffusion coefficients. Specifically, the modified system can generate patterns with spatially varying amplitude and wavelength. Application to chondrogenesis in the limb is discussed.

Author-supplied keywords

  • invasion
  • reactdiff

Get free article suggestions today

Mendeley saves you time finding and organizing research

Sign up here
Already have an account ?Sign in

Find this document

Authors

  • Debbie L Benson

  • P K Maini

  • J A Sherratt

Cite this document

Choose a citation style from the tabs below

Save time finding and organizing research with Mendeley

Sign up for free