Global dynamics for an age-structured HIV virus infection model with cellular infection and antiretroviral therapy
From MaRDI portal
Publication:1735425
DOI10.1016/j.amc.2017.01.064zbMath1411.92182OpenAlexW2593300408MaRDI QIDQ1735425
Yicang Zhou, Yan Geng, Jinhu Xu
Publication date: 28 March 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2017.01.064
age-structureLyapunov functionalsbasic reproduction numberglobally asymptotically stablecell-to-cell infection
Related Items (10)
Mathematical analysis of an age-structured HIV model with intracellular delay ⋮ Global dynamics of an age-structured model for HIV viral dynamics with latently infected T cells ⋮ Threshold dynamics of an HIV-1 model with both viral and cellular infections, cell-mediated and humoral immune responses ⋮ Analysis and control of an age-structured HIV-1 epidemic model with different transmission mechanisms ⋮ Global stability of an HIV infection model with saturated CTL immune response and intracellular delay ⋮ Threshold dynamics of an HIV-1 virus model with both virus-to-cell and cell-to-cell transmissions, intracellular delay, and humoral immunity ⋮ Mathematical analysis of an age-structured HIV-1 infection model with CTL immune response ⋮ Global dynamics for a class of infection-age model with nonlinear incidence ⋮ Threshold dynamics of a delayed nonlocal reaction-diffusion HIV infection model with both cell-free and cell-to-cell transmissions ⋮ Global analysis of a multi-group viral infection model with age structure
Cites Work
- Unnamed Item
- Unnamed Item
- Global properties of basic virus dynamics models
- Global dynamics of a virus dynamical model with cell-to-cell transmission and cure rate
- Epidemic models with age of infection, indirect transmission and incomplete treatment
- Global dynamics for a class of age-infection HIV models with nonlinear infection rate
- Analysis of an HIV infection model with logistic target-cell growth and cell-to-cell transmission
- Global dynamics of an in-host viral model with intracellular delay
- Dynamics of a PDE viral infection model incorporating cell-to-cell transmission
- Global dynamics of a delayed within-host viral infection model with both virus-to-cell and cell-to-cell transmissions
- Complete global stability for an SIR epidemic model with delay - distributed or discrete
- Influence of delayed viral production on viral dynamics in HIV-1 infected patients
- Progression age enhanced backward bifurcation in an epidemic model with super-infection
- A mathematical model of cell-to-cell spread of HIV-1 that includes a time delay
- Uniform persistence and permanence for non-autonomous semiflows in population biology
- Threshold dynamics of HIV-1 virus model with cell-to-cell transmission, cell-mediated immune responses and distributed delay
- 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
- A model of HIV-1 pathogenesis that includes an intracellular delay
- Optimizing within-host viral fitness: infected cell lifespan and virion production rate
- Competitive exclusion in an infection-age structured model with environmental transmission
- Oscillatory viral dynamics in a delayed HIV pathogenesis model
- Modeling cell-to-cell spread of HIV-1 with logistic target cell growth
- Lyapunov Functions and Global Stability for Age-Structured HIV Infection Model
- Modeling HIV-1 Virus Dynamics with Both Virus-to-Cell Infection and Cell-to-Cell Transmission
- Lyapunov functional and global asymptotic stability for an infection-age model
- Mathematical Analysis of HIV-1 Dynamics in Vivo
- Virus Dynamics: A Global Analysis
- Mathematical Analysis of Age‐Structured HIV‐1 Dynamics with Combination Antiretroviral Therapy
This page was built for publication: Global dynamics for an age-structured HIV virus infection model with cellular infection and antiretroviral therapy
