Journal of Dynamics and Differential Equations

, Volume 15, Issue 2, pp 517–534

Travelling Wave Solutions in a Tissue Interaction Model for Skin Pattern Formation

  • Shangbing Ai
  • Shui-Nee Chow
  • Yingfei Yi
Article

DOI: 10.1023/B:JODY.0000009746.52357.28

Cite this article as:
Ai, S., Chow, S. & Yi, Y. Journal of Dynamics and Differential Equations (2003) 15: 517. doi:10.1023/B:JODY.0000009746.52357.28

Abstract

We discuss the existence and the uniqueness of travelling wave solutions for a tissue interaction model on skin pattern formation proposed by Cruywagen and Murray. The geometric theory of singular perturbations is employed.

tissue interaction modeltravelling wave solutionssingular perturbations

Copyright information

© Plenum Publishing Corporation 2003

Authors and Affiliations

  • Shangbing Ai
    • 1
  • Shui-Nee Chow
    • 2
  • Yingfei Yi
    • 2
  1. 1.Department of Mathematical SciencesUniversity of Alabama in HuntsvilleHuntsville
  2. 2.School of MathematicsGeorgia Institute of TechnologyAtlanta