A diffusive virus model with a fixed intracellular delay and combined drug treatments
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Publication:2047168
DOI10.1007/s00285-021-01646-7zbMath1477.35288OpenAlexW3186998149WikidataQ113905481 ScholiaQ113905481MaRDI QIDQ2047168
Chang-Yuan Cheng, Feng-Bin Wang
Publication date: 19 August 2021
Published in: Journal of Mathematical Biology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00285-021-01646-7
Epidemiology (92D30) Reaction-diffusion equations (35K57) Dynamical systems in biology (37N25) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Medical applications (general) (92C50)
Cites Work
- Mathematical analysis of an in-host model of viral dynamics with spatial heterogeneity
- Repulsion effect on superinfecting virions by infected cells
- Basic reproduction ratios for periodic compartmental models with time delay
- A reaction-diffusion malaria model with incubation period in the vector population
- Threshold dynamics of an infective disease model with a fixed latent period and non-local infections
- Within-host virus models with periodic antiviral therapy
- A periodic epidemic model in a patchy environment
- Global stability and periodic solution of the viral dynamics
- Threshold dynamics for compartmental epidemic models in periodic environments
- A mathematical model of cell-to-cell spread of HIV-1 that includes a time delay
- A reaction-diffusion malaria model with seasonality and incubation period
- A reaction-diffusion within-host HIV model with cell-to-cell transmission
- Theory and applications of partial functional differential equations
- Theory and applications of abstract semilinear Cauchy problems
- Within-host viral dynamics in a multi-compartmental environment
- Age-structured viral dynamics in a host with multiple compartments
- Complex patterns of viral load decay under antiretroviral therapy: influence of pharmacokinetics and intracellular delay
- Global threshold dynamics of an infection age-structured SIR epidemic model with diffusion under the Dirichlet boundary condition
- Resonance of periodic combination antiviral therapy and intracellular delays in virus model
- Basic reproduction ratios for periodic abstract functional differential equations (with application to a spatial model for Lyme disease)
- Threshold dynamics of a time periodic reaction-diffusion epidemic model with latent period
- Emergence of HIV-1 drug resistance during antiretroviral treatment
- Spatial Aspects of HIV Infection
- Abstract Functional Differential Equations and Reaction-Diffusion Systems
- Drug concentration heterogeneity facilitates the evolution of drug resistance
- Mathematical Analysis of HIV-1 Dynamics in Vivo
- Modeling Pharmacodynamics on HIV Latent Infection: Choice of Drugs is Key to Successful Cure via Early Therapy
- An infection age-space structured SIR epidemic model with Neumann boundary condition
- Spectral Bound and Reproduction Number for Infinite-Dimensional Population Structure and Time Heterogeneity
- Impact of Intracellular Delays and Target-Cell Dynamics on In Vivo Viral Infections
- Global Attractors and Steady States for Uniformly Persistent Dynamical Systems
- Dynamical systems in population biology
- A non-local delayed and diffusive predator-prey model.
- Chain transitivity, attractivity, and strong repellors for semidynamical systems
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