Pattern Formation of a Keller-Segel Model with the Source Term

Shengmao Fu and Fenli Cao

Journal of Mathematics, 2013, vol. 2013, 1-11

Abstract:

Nonlinear dynamics near an unstable constant equilibrium in a Keller-Segel model with the source term is considered. It is proved that nonlinear dynamics of a general perturbation is determined by the finite number of linear growing modes over a time scale of , where is a strength of the initial perturbation.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:454513

DOI: 10.1155/2013/454513

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