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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
78/2001

A constructive approach to traveling waves in chemotaxis

Dirk Horstmann and Angela Stevens

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.

Received:
Oct 9, 2001
Published:
Oct 9, 2001
MSC Codes:
35B40, 35K20, 35K55, 92C17
Keywords:
chemotaxis, keller-segel model, traveling waves

Related publications

inJournal
2004 Repository Open Access
Dirk Horstmann and Angela Stevens

A constructive approach to traveling waves in chemotaxis

In: Journal of nonlinear science, 14 (2004) 1, pp. 1-25