Mathematical analysis of a transformed ODE from a PDE multiscale model of hepatitis C virus infection
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Publication:2417517
DOI10.1007/s11538-018-00564-yzbMath1415.92184OpenAlexW2909304163WikidataQ91048777 ScholiaQ91048777MaRDI QIDQ2417517
Shinji Nakaoka, Toshikazu Kuniya, Shingo Iwami, Kosaku Kitagawa, Koichi Watashi, Yusuke Asai
Publication date: 12 June 2019
Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11538-018-00564-y
Epidemiology (92D30) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Global stability of solutions to ordinary differential equations (34D23)
Related Items (8)
Global dynamics of an age-dependent multiscale hepatitis C virus model ⋮ Global dynamics of a multiscale model for hepatitis C virus infection ⋮ Global stability of a delayed adaptive immunity viral infection with two routes of infection and multi-stages of infected cells ⋮ Threshold asymptotic dynamics for a spatial age-dependent cell-to-cell transmission model with nonlocal disperse ⋮ AN IMMUNO-EPIDEMIOLOGICAL VECTOR–HOST MODEL WITH WITHIN-VECTOR VIRAL KINETICS ⋮ Global stability of discrete virus dynamics models with humoural immunity and latency ⋮ Impact of adaptive immune response and cellular infection on delayed virus dynamics with multi-stages of infected cells ⋮ Linking Network Structure and Dynamics to Describe the Set of Persistent Species in Reaction Diffusion Systems
Cites Work
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- On a new perspective of the basic reproduction number in heterogeneous environments
- Global dynamics for a class of age-infection HIV models with nonlinear infection rate
- Avian-human influenza epidemic model
- A geographical spread of vaccine-resistance in avian influenza epidemics
- A PDE multiscale model of hepatitis C virus infection can be transformed to a system of ODEs
- Numerical schemes for solving and optimizing multiscale models with age of hepatitis C virus dynamics
- Understanding hepatitis C viral dynamics with direct-acting antiviral agents due to the interplay between intracellular replication and cellular infection dynamics
- An age-structured model of HIV infection that allows for variations in the production rate of viral particles and the death rate of productively infected cells
- Global stability for an SEI epidemiological model with continuous age-structure in the exposed and infectious classes
- Lyapunov functions and global stability for SIR and SEIR models with age-dependent suscepti\-bility
- Mathematical analysis of multiscale models for hepatitis C virus dynamics under therapy with direct-acting antiviral agents
- Lyapunov Functions and Global Stability for Age-Structured HIV Infection Model
- Lyapunov functional and global asymptotic stability for an infection-age model
- Mathematical Analysis of HIV-1 Dynamics in Vivo
- Mathematical Analysis of Age‐Structured HIV‐1 Dynamics with Combination Antiretroviral Therapy
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