Nonlinear instability for a volume-filling chemotaxis model with logistic growth
type: Item
instance of: scholarly article
title: Nonlinear instability for a volume-filling chemotaxis model with logistic growth
zbMATH Open document ID: 1470.35361
DOI: 10.1155/2014/248657
author: Haiyan Gao
author: Shengmao Fu
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: This paper deals with a Neumann boundary value problem for a volume-filling chemotaxis model with logistic growth in a \(d\)-dimensional box \(\mathbb{T}^d = (0, \pi)^d (d = 1,2, 3)\). It is proved that given any general perturbation of magnitude \(\delta\), 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 \(\ln(1 / \delta)\). Each initial perturbation certainly can behave drastically different from another, which gives rise to the richness of patterns.
Mathematics Subject Classification ID: 35Q92
Mathematics Subject Classification ID: 92C17
Mathematics Subject Classification ID: 35K51
zbMATH DE Number: 7021993
Wikidata QID: Q59036765
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/248657
OpenAlex ID: W2136540508
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description: scientific article; zbMATH DE number 7021993