pattern formation of a keller-segel model with the source term up(1-u)
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pattern formation of a keller-segel model with the source term up(1-u)

;Shengmao Fu;Fenli Cao
molecular imaging and radionuclide therapy 2013 Vol. 2013 pp. -
143
fu2013journalpattern

Abstract

Nonlinear dynamics near an unstable constant equilibrium in a Keller-Segel model with the source term up(1-u) 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 ln(1/δ), where δ is a strength of the initial perturbation.

Keywords

mathematics

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DOI:
10.1155/2013/454513
URL:
http://dx.doi.org/10.1155/2013/454513

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ID: 173410
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