Boundedness and stabilization in a two-species chemotaxis system with logistic source (Q2023006)
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scientific article; zbMATH DE number 7341745
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Boundedness and stabilization in a two-species chemotaxis system with logistic source |
scientific article; zbMATH DE number 7341745 |
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Boundedness and stabilization in a two-species chemotaxis system with logistic source (English)
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3 May 2021
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A system of three parabolic equations describes interactions of two species with smooth sensitivity functions responsible for chemotaxis effects and competitive kinetics of Lotka-Volterra type. Solutions of the initial-boundary value problem in bounded two-dimensional domains are shown to be global-in-time and uniformly bounded. Moreover, stabilization to spatially homogeneous steady states is proved.
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chemotaxis
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two species
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Lotka-Volterra competitive kinetics
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global-in-time solutions
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