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Pattern formation in a bacterial colony model - MaRDI portal

Pattern formation in a bacterial colony model (Q1722191)

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scientific article; zbMATH DE number 7021815
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Pattern formation in a bacterial colony model
scientific article; zbMATH DE number 7021815

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    Pattern formation in a bacterial colony model (English)
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    14 February 2019
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    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.
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    bacterial colony model
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    spatiotemporal dynamics
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    Hopf and Turing bifurcations
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    pattern formation
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