Dynamics and asymptotical profiles of an age-structured viral infection model with spatial diffusion
From MaRDI portal
Publication:2279467
DOI10.1016/j.amc.2019.05.007zbMath1428.35633OpenAlexW2947709121WikidataQ127859117 ScholiaQ127859117MaRDI QIDQ2279467
Publication date: 12 December 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2019.05.007
Epidemiology (92D30) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical epidemiology (92C60)
Related Items (8)
Global behavior of a multi-group SEIR epidemic model with spatial diffusion in a heterogeneous environment ⋮ Dynamics of a diffusion dispersal viral epidemic model with age infection in a spatially heterogeneous environment with general nonlinear function ⋮ Dynamics of a diffusive delayed viral infection model in a heterogeneous environment ⋮ Asymptotic analysis of SIR epidemic model with nonlocal diffusion and generalized nonlinear incidence functional ⋮ Threshold asymptotic dynamics for a spatial age-dependent cell-to-cell transmission model with nonlocal disperse ⋮ Qualitative analysis on a diffusive age-structured heroin transmission model ⋮ Asymptotic profiles of a nonlocal dispersal SIR epidemic model with treat-age in a heterogeneous environment ⋮ Global stability of a diffusive HCV infections epidemic model with nonlinear incidence
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Dynamics of a diffusive age-structured HBV model with saturating incidence
- Heterogeneous viral environment in a HIV spatial model
- A reaction-diffusion malaria model with incubation period in the vector population
- Dynamics of a PDE viral infection model incorporating cell-to-cell transmission
- Asymptotic profiles of the steady states for an SIS epidemic reaction-diffusion model
- Asymmetric division of activated latently infected cells may explain the decay kinetics of the HIV-1 latent reservoir and intermittent viral blips
- Dynamical systems and evolution equations. Theory and applications
- An HBV model with diffusion and time delay
- Competitive exclusion in a multi-strain virus model with spatial diffusion and age of infection
- A vector-host epidemic model with spatial structure and age of infection
- Analysis and control of an age-structured HIV-1 epidemic model with different transmission mechanisms
- 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
- Dynamics of HIV infection of CD4\(^ +\) T cells
- Robust persistence for semidynamical systems.
- Global stability for an SEI epidemiological model with continuous age-structure in the exposed and infectious classes
- Analysis of a HBV model with diffusion and time delay
- A model of HIV-1 pathogenesis that includes an intracellular delay
- Existence result for an age-structured SIS epidemic model with spatial diffusion
- Propagation of HBV with spatial dependence
- Lyapunov Functions and Global Stability for Age-Structured HIV Infection Model
- Global dynamics of a PDE in-host viral model
- Global dynamics of an age-structured virus model with saturation effects
- A Hepatitis B and C Virus Model with Age since Infection that Exhibits Backward Bifurcation
- Mathematical Analysis of HIV-1 Dynamics in Vivo
- On the Basic Reproduction Number of Reaction-Diffusion Epidemic Models
- Mathematical Models of the Complete Course of HIV Infection and AIDS
- Basic Reproduction Numbers for Reaction-Diffusion Epidemic Models
- Spectral Bound and Reproduction Number for Infinite-Dimensional Population Structure and Time Heterogeneity
- Mathematical Analysis of Age‐Structured HIV‐1 Dynamics with Combination Antiretroviral Therapy
- Lyapunov functions and global stability for a spatially diffusive SIR epidemic model
- Dynamical systems in population biology
This page was built for publication: Dynamics and asymptotical profiles of an age-structured viral infection model with spatial diffusion
