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2014 Pattern Formation in a Bacterial Colony Model
Xinze Lian, Guichen Lu, Hailing Wang
Abstr. Appl. Anal. 2014(SI01): 1-10 (2014). DOI: 10.1155/2014/149801


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.


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Xinze Lian. Guichen Lu. Hailing Wang. "Pattern Formation in a Bacterial Colony Model." Abstr. Appl. Anal. 2014 (SI01) 1 - 10, 2014.


Published: 2014
First available in Project Euclid: 6 October 2014

zbMATH: 07021815
MathSciNet: MR3191020
Digital Object Identifier: 10.1155/2014/149801

Rights: Copyright © 2014 Hindawi

Vol.2014 • No. SI01 • 2014
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