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

1991 Mathematics Subject Classification. 34C37, 92C37, 92C40.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.During the preparation of this work, the first author was supported by the Center for Dynamical Systems and Nonlinear Studies at the Georgia Institute of Technology, and, the third author was supported by NSF grant DMS0204119