Sufficient conditions for global dynamics of a viral infection model with nonlinear diffusion
DOI10.3934/DCDSB.2020271zbMath1471.35279OpenAlexW3082897435MaRDI QIDQ2033776
Wanbiao Ma, Xiulan Lai, Wei Wang
Publication date: 17 June 2021
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.2020271
basic reproduction numbernonlinear diffusionglobal dynamicsspatial heterogeneityquasilinearly parabolic system
Epidemiology (92D30) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical epidemiology (92C60) Quasilinear parabolic equations (35K59)
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Cites Work
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- Mathematical analysis of an in-host model of viral dynamics with spatial heterogeneity
- Repulsion effect on superinfecting virions by infected cells
- Global analysis for delay virus dynamics model with Beddington-DeAngelis functional response
- A reaction-diffusion malaria model with incubation period in the vector population
- On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
- Dynamic theory of quasilinear parabolic systems. III: Global existence
- Caspase-1-mediated pyroptosis of the predominance for driving \(\mathrm{CD}4^+\) T cells death: a nonlocal spatial mathematical model
- A reaction-diffusion within-host HIV model with cell-to-cell transmission
- Robust persistence for semidynamical systems.
- Global dynamics of a reaction-diffusion virus infection model with humoral immunity and nonlinear incidence
- Dynamics of a diffusive HBV model with delayed Beddington-DeAngelis response
- Global dynamics of a virus infection model with repulsive effect
- Complex dynamics of a time periodic nonlocal and time-delayed model of reaction-diffusion equations for modeling \(\mathrm{CD}4^+\) T cells decline
- Global dynamics of a PDE in-host viral model
- Repulsion of Superinfecting Virions: A Mechanism for Rapid Virus Spread
- A Nonlocal and Time-Delayed Reaction-Diffusion Model of Dengue Transmission
- Spatial and Temporal Dynamics of a Nonlocal Viral Infection Model
- Basic Reproduction Numbers for Reaction-Diffusion Epidemic Models
- Spatial Invasion Threshold of Lyme Disease
- Global Attractors and Steady States for Uniformly Persistent Dynamical Systems
- Dynamical systems in population biology
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