Boundedness and asymptotic stability of solutions to a two-species chemotaxis system with consumption of chemoattractant (Q1688667)

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scientific article; zbMATH DE number 6824717
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Boundedness and asymptotic stability of solutions to a two-species chemotaxis system with consumption of chemoattractant
scientific article; zbMATH DE number 6824717

    Statements

    Boundedness and asymptotic stability of solutions to a two-species chemotaxis system with consumption of chemoattractant (English)
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    11 January 2018
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    A two-competing-species chemotactic system is considered with logistic terms and consumption of chemoattractant in bounded domains with the homogeneous Neumann condition. Conditions guaranteeing global in time existence of solutions are given. Moreover, under some conditions, solutions are shown to stabilize to space-homogeneous steady states.
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    global existence
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    convergence rates
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    homogeneous Neumann condition
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