Nonlinear Instability for a Volume-Filling Chemotaxis Model with Logistic Growth

Haiyan Gao and Shengmao Fu

Abstract and Applied Analysis, 2014, vol. 2014, 1-11

Abstract:

This paper deals with a Neumann boundary value problem for a volume-filling chemotaxis model with logistic growth in a -dimensional box . It is proved that given any general perturbation of magnitude , its nonlinear evolution is dominated by the corresponding linear dynamics along a finite number of fixed fastest growing modes, over a time period of the order . Each initial perturbation certainly can behave drastically different from another, which gives rise to the richness of patterns.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:248657

DOI: 10.1155/2014/248657

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