Boundedness and asymptotic stability in a two-species chemotaxis-competition model with signal-dependent sensitivity
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Publication:521498
DOI10.3934/dcdsb.2017097zbMath1366.35068OpenAlexW2597094524MaRDI QIDQ521498
Publication date: 11 April 2017
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdsb.2017097
Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Initial value problems for second-order parabolic systems (35K45) Cell movement (chemotaxis, etc.) (92C17)
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Cites Work
- Global existence and asymptotic stability of solutions to a two-species chemotaxis system with any chemical diffusion
- Generalizing the Keller-Segel model: Lyapunov functionals, steady state analysis, and blow-up results for multi-species chemotaxis models in the presence of attraction and repulsion between competitive interacting species
- Initiation of slime mold aggregation viewed as an instability
- A user's guide to PDE models for chemotaxis
- Geometric theory of semilinear parabolic equations
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- Global boundedness of solutions to a two-species chemotaxis system
- Boundedness vs. blow-up in a chemotaxis system
- Absence of collapse in a parabolic chemotaxis system with signal-dependent sensitivity
- Equilibration in a fully parabolic two-species chemotaxis system with competitive kinetics
- Multi-components chemotactic system in the absence of conflicts
- Boundedness in the Higher-Dimensional Parabolic-Parabolic Chemotaxis System with Logistic Source
- Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues
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