Asymptotic behaviour of the solutions to a virus dynamics model with diffusion

DOI10.3934/DCDSB.2017206zbMath1403.35307OpenAlexW2753972313MaRDI QIDQ1671041

Toru Sasaki, Takashi Suzuki

Publication date: 6 September 2018

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.2017206

zbMATH Keywords

asymptotic behaviourLyapunov functionsvirus dynamics modelreaction-diffution equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability of topological dynamical systems (37B25) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25)

Related Items (2)

On a model of COVID-19 dynamics ⋮ Dynamics of reaction-diffusion equations for modeling CD\(4^+\) T cells decline with general infection mechanism and distinct dispersal rates

Cites Work

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• Global properties of basic virus dynamics models
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• Geometric theory of semilinear parabolic equations
• Global Asymptotic Stability of Equilibria in Models for Virus Dynamics
• Transient and asymptotic dynamics of a prey-predator system with diffusion
• Abstract Parabolic Evolution Equations and their Applications
• Entropy dissipation methods for degenerate parabolic problems and generalized Sobolev inequalities

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