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

Haiyan Gao and Shengmao Fu

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: This paper deals with a Neumann boundary value problem for a volume‐filling chemotaxis model with logistic growth in a d‐dimensional box Td=(01,23,π) d (d=,). It is proved that given any general perturbation of magnitude δ, 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 ln⁡(1/δ). Each initial perturbation certainly can behave drastically different from another, which gives rise to the richness of patterns.

Date: 2014
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https://doi.org/10.1155/2014/248657

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:248657

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