Role of \(CD4^{+}\) T-cell proliferation in HIV infection under antiretroviral therapy
From MaRDI portal
Publication:442473
DOI10.1016/j.jmaa.2012.05.027zbMath1275.92033OpenAlexW2047656200MaRDI QIDQ442473
Publication date: 1 August 2012
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.05.027
Dynamical systems in biology (37N25) Bifurcation theory for ordinary differential equations (34C23) Medical applications (general) (92C50) Qualitative investigation and simulation of ordinary differential equation models (34C60) Medical epidemiology (92C60)
Related Items (12)
An HIV infection model based on a vectored immunoprophylaxis experiment ⋮ Global dynamics of a delay virus model with recruitment and saturation effects of immune responses ⋮ Dynamics analysis of a delayed virus model with two different transmission methods and treatments ⋮ Stability and bifurcation in plant-pathogens interactions ⋮ Bifurcations of a mathematical model for HIV dynamics ⋮ Global dynamics of an age-structured virus model with saturation effects ⋮ Numerical analysis for a fractional differential time-delay model of HIV infection of CD4\(^+\) T-cell proliferation under antiretroviral therapy ⋮ Hopf bifurcation and stability of periodic solutions for delay differential model of HIV infection of CD4 T-cells ⋮ Backward bifurcation and global stability in an epidemic model with treatment and vaccination ⋮ Complete classification of global dynamics of a virus model with immune responses ⋮ Global stability and backward bifurcation of a general viral infection model with virus-driven proliferation of target cells ⋮ A class of virus dynamic model with inhibitory effect on the growth of uninfected T cells caused by infected T cells and its stability analysis
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Global properties of basic virus dynamics models
- Backward bifurcation in a model for HTLV-I infection of CD4\(^{+}\) T cells
- Global dynamics of a mathematical model for HTLV-I infection of \(CD4^{+}T\) cells with delayed CTL response
- Joint effects of mitosis and intracellular delay on viral dynamics: two-parameter bifurcation analysis
- Global stability of an HIV-1 infection model with saturation infection and intracellular delay
- Permanence and extinction of a nonautonomous HIV/AIDS epidemic model with distributed time delay
- Global stability for an HIV-1 infection model including an eclipse stage of infected cells
- Global stability of an HIV pathogenesis model with cure rate
- Monte Carlo estimates of natural variation in HIV infection
- Influence of backward bifurcation in a model of hepatitis B and C viruses
- Logarithmic norms and projections applied to linear differential systems
- On Bendixson's criterion
- Uniform persistence and flows near a closed positively invariant set
- Backwards bifurcations and catastrophe in simple models of fatal diseases
- Fighting a virus with a virus: A dynamic model for HIV-1 therapy
- A simple SIS epidemic model with a backward bifurcation
- Restricted occupancy models for neutralization of HIV virions and populations
- Global dynamics of a SEIR model with varying total population size
- Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
- Global stability of an HIV-1 model with distributed intracellular delays and a combination therapy
- Complex patterns of viral load decay under antiretroviral therapy: influence of pharmacokinetics and intracellular delay
- Compound matrices and ordinary differential equations
- Infection dynamics in HIV-specific CD4 T cells: does a CD4 T cell boost benefit the host or the virus?
- Role of incidence function in vaccine-induced backward bifurcation in some HIV models
- Mathematical analysis of the global dynamics of a model for HIV infection of CD4\(^{+}\) T cells
- Drug concentration heterogeneity facilitates the evolution of drug resistance
- Mathematical Analysis of HIV-1 Dynamics in Vivo
- Virus Dynamics: A Global Analysis
- Global Results for an Epidemic Model with Vaccination that Exhibits Backward Bifurcation
- A theory of polytopes
- A Geometric Approach to Global-Stability Problems
- Persistence in dynamical systems
This page was built for publication: Role of \(CD4^{+}\) T-cell proliferation in HIV infection under antiretroviral therapy
