A constructive approach to traveling waves in chemotaxis

Dirk Horstmann and Angela Stevens

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Submission date: 09. Oct. 2001
Pages: 23
published in: Journal of nonlinear science, 14 (2004) 1, p. 1-25 
DOI number (of the published article): 10.1007/s00332-003-0548-y
Bibtex
MSC-Numbers: 35B40, 35K20, 35K55, 92C17
Keywords and phrases: chemotaxis, keller-segel model, traveling waves

Abstract:
In this paper we study the existence of one and multidimensional traveling wave solutions for chemotaxis or so-called Keller-Segel models. We present a constructive approach to give modelers a choice of sensitivity, production and decay functionals at hand.