A geometric construction of travelling wave solutions to the Keller–Segel model
Harley, K., van Heijster, P., & Pettet, G.J. (2013) A geometric construction of travelling wave solutions to the Keller–Segel model. In Proceedings of the 11th Biennial Engineering Mathematics and Applications Conference, EMAC-2013, Brisbane, QLD, C399-C415.
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.
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|Item Type:||Conference Paper|
|Keywords:||travelling waves, Keller-Siegel, Geometric singular perturbation theory|
|Subjects:||Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > PURE MATHEMATICS (010100) > Partial Differential Equations (010110)
Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > APPLIED MATHEMATICS (010200) > Biological Mathematics (010202)
Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > APPLIED MATHEMATICS (010200) > Dynamical Systems in Applications (010204)
|Divisions:||Current > Schools > School of Mathematical Sciences|
|Copyright Owner:||Copyright 2013 The Author(s)|
|Deposited On:||10 Feb 2014 23:03|
|Last Modified:||30 Sep 2014 06:36|
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