Pattern formation in a bacterial colony model
type: Item
instance of: scholarly article
title: Pattern formation in a bacterial colony model
zbMATH Open document ID: 1406.92507
DOI: 10.1155/2014/149801
author: Xinze Lian
author: Guichen Lu
author: Hailing Wang
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: We investigate the spatiotemporal dynamics of a bacterial colony model. Based on the stability analysis, we derive the conditions for Hopf and Turing bifurcations. Furthermore, we present novel numerical evidence of time evolution of patterns controlled by parameters in the model and find that the model dynamics exhibit a diffusion controlled formation growth to spots, holes and stripes pattern replication, which show that the bacterial colony model is useful in revealing the spatial predation dynamics in the real world.
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 92C15
Mathematics Subject Classification ID: 35Q92
zbMATH DE Number: 7021815
zbMATH Keywords: bacterial colony model
zbMATH Keywords: spatiotemporal dynamics
zbMATH Keywords: Hopf and Turing bifurcations
zbMATH Keywords: pattern formation
Wikidata QID: Q59035523
describes a project that uses: PRED_PREY
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/149801
OpenAlex ID: W1970307969
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description: scientific article; zbMATH DE number 7021815