A geometric construction of travelling wave solutions to the Keller-Segel model
Dynamical Systems
2014-03-12 v1
Abstract
We study a version of the Keller-Segel model for bacterial chemotaxis, for which exact travelling wave solutions are explicitly known in the zero attractant diffusion limit. Using geometric singular perturbation theory, we construct travelling wave solutions in the small diffusion case that converge to these exact solutions in the singular limit.
Keywords
Cite
@article{arxiv.1403.2449,
title = {A geometric construction of travelling wave solutions to the Keller-Segel model},
author = {Kristen Harley and Peter van Heijster and Graeme Pettet},
journal= {arXiv preprint arXiv:1403.2449},
year = {2014}
}
Comments
Submitted as conference proceedings: Proceedings of the 11th Biennial Engineering Mathematics and Applications Conference, EMAC-2013. 6 pages, 3 figures