Global asymptotic stability in a chemotaxis-growth model for tumor invasion
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Publication:2178726
DOI10.3934/dcdss.2020011zbMath1439.35059OpenAlexW2912680688MaRDI QIDQ2178726
Publication date: 11 May 2020
Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdss.2020011
Asymptotic behavior of solutions to PDEs (35B40) Cell movement (chemotaxis, etc.) (92C17) Semilinear parabolic equations (35K58) Initial-boundary value problems for second-order parabolic systems (35K51)
Related Items (5)
Boundedness and weak stabilization in a degenerate chemotaxis model arising from tumor invasion ⋮ Dynamics for a chemotaxis model with general logistic damping and signal dependent motility ⋮ Boundedness and large-time behavior in a chemotaxis system with signal-dependent motility arising from tumor invasion ⋮ Blow-up prevention by logistic source in an \(N\)-D chemotaxis-convection model of capillary-sprout growth during tumor angiogenesis ⋮ Global dynamics of a tumor invasion model with/without logistic source
Cites Work
- Global bounded solutions of the higher-dimensional Keller-Segel system under smallness conditions in optimal spaces
- Application of an Adams type inequality to a two-chemical substances chemotaxis system
- Global existence for a haptotaxis model of cancer invasion with tissue remodeling
- Exponential attractor for a chemotaxis-growth system of equations
- Initiation of slime mold aggregation viewed as an instability
- On convergence to equilibria for the Keller-Segel chemotaxis model
- Local existence and uniqueness of regular solutions in a model of tissue invasion by solid tumours
- A user's guide to PDE models for chemotaxis
- From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I
- Critical mass for infinite-time aggregation in a chemotaxis model with indirect signal production
- Stability of solutions of chemotaxis equations in reinforced random walks
- Eventual smoothness and asymptotics in a three-dimensional chemotaxis system with logistic source
- Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system
- Global asymptotic stability of constant equilibria in a fully parabolic chemotaxis system with strong logistic dampening
- Stabilization in a chemotaxis model for tumor invasion
- To the exclusion of blow-up in a three-dimensional chemotaxis-growth model with indirect attractant production
- Predator–prey model with diffusion and indirect prey-taxis
- ASYMPTOTIC BEHAVIOR OF GLOBAL SOLUTIONS TO A MODEL OF CELL INVASION
- Qualitative Behavior of a Keller–Segel Model with Non-Diffusive Memory
- BOUNDEDNESS OF SOLUTIONS OF A HAPTOTAXIS MODEL
- Global Existence of Classical Solutions for a Haptotaxis Model
- MATHEMATICAL MODELLING OF CANCER INVASION OF TISSUE: THE ROLE AND EFFECT OF NONLOCAL INTERACTIONS
- 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
- A Chemotaxis System with Logistic Source
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