Instability in a generalized multi-species KellerSegel chemotaxis model
Pages 2280 - 2288
Abstract
In this paper we discuss Turing instability of a generalized KellerSegel chemotaxis model involving n-species and m-chemoattractants. By using combinatorial matrix theory we extend the result on the instability of a single-species and n-chemicals KellerSegel system (Leenheer etal., 2012) to a general (n+m)(n+m) system. A sufficient condition for chemotaxis driven Turing instability of the multi-species model is obtained. Moreover, some examples and numerical simulations are presented to illustrate the theoretical results.
References
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- Instability in a generalized multi-species KellerSegel chemotaxis model
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Pergamon Press, Inc.
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Published: 01 November 2016
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