Stabilization in a chemotaxis model for virus infection
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Publication:2178721
DOI10.3934/dcdss.2020006zbMath1439.35052OpenAlexW2914312420MaRDI QIDQ2178721
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.2020006
Epidemiology (92D30) Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Cell movement (chemotaxis, etc.) (92C17) Semilinear parabolic equations (35K58) Initial-boundary value problems for second-order parabolic systems (35K51)
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Cites Work
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- Global properties of basic virus dynamics models
- Repulsion effect on superinfecting virions by infected cells for virus infection dynamic model with absorption effect and chemotaxis
- Turing patterns from dynamics of early HIV infection
- Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with subcritical sensitivity
- Hölder estimates for local solutions of some doubly nonlinear degenerate parabolic equations
- Initiation of slime mold aggregation viewed as an instability
- Model for chemotaxis
- A user's guide to PDE models for chemotaxis
- The effects of distributed life cycles on the dynamics of viral infections
- Viral reproductive strategies: how can lytic viruses be evolutionarily competitive?
- Overview of mathematical approaches used to model bacterial chemotaxis. I: The single cell
- Overview of mathematical approaches used to model bacterial chemotaxis. II: Bacterial popu\-lations
- Flux-saturated porous media equations and applications
- Boundedness vs. blow-up in a chemotaxis system
- From a multiscale derivation of nonlinear cross-diffusion models to Keller–Segel models in a Navier–Stokes fluid
- From kinetic theory of multicellular systems to hyperbolic tissue equations: Asymptotic limits and computing
- Repulsion of Superinfecting Virions: A Mechanism for Rapid Virus Spread
- A degenerate chemotaxis system with flux limitation: Maximally extended solutions and absence of gradient blow-up
- A Chemotaxis-Haptotaxis Model: The Roles of Nonlinear Diffusion and Logistic Source
- Heterogeneous population dynamics of active particles: Progression, mutations, and selection dynamics
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