Viral dynamics model with CTL immune response incorporating antiretroviral therapy
From MaRDI portal
Publication:376329
DOI10.1007/s00285-012-0580-3zbMath1279.34059OpenAlexW1982111621WikidataQ46518762 ScholiaQ46518762MaRDI QIDQ376329
Fred Brauer, Yan Wang, Jane M. Heffernan, Yicang Zhou
Publication date: 4 November 2013
Published in: Journal of Mathematical Biology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00285-012-0580-3
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05) Medical epidemiology (92C60)
Related Items
Stability and dynamic of HIV-1 mathematical model with logistic target cell growth, treatment rate, cure rate and cell-to-cell spread, Analysis of a stochastic HIV model with cell-to-cell transmission and Ornstein–Uhlenbeck process, Examining HIV progression mechanisms via mathematical approaches, Viral dynamics of an HIV model with latent infection incorporating antiretroviral therapy, Modelling a stochastic HIV model with logistic target cell growth and nonlinear immune response function, Immune response in virus model structured by cell infection-age, Spatiotemporal dynamics of a delayed viral infection model with two modes of transmission and immune impairment, Optimal control of an HIV infection model with logistic growth, celluar and homural immune response, cure rate and cell-to-cell spread, Stability analysis of a virus infection model with humoral immunity response and two time delays, Dynamics analysis of a delayed HIV infection model with CTL immune response and antibody immune response, An HIV latent infection model with cell-to-cell transmission and stochastic perturbation, Analysis of a diffusive virus infection model with humoral immunity, cell-to-cell transmission and nonlinear incidence, Hopf bifurcation of an age-structured virus infection model, Virus dynamic behavior of a stochastic HIV/AIDS infection model including two kinds of target cell infections and CTL immune responses, An age-structured within-host HIV model with T-cell competition, Dynamic behavior of a general stochastic HIV model with virus-to-cell infection, cell-to-cell transmission, immune response and distributed delays, A viral co-infection model with general infection rate in deterministic and stochastic environments, Local and global stabilities of a viral dynamics model with infection-age and immune response, Threshold dynamics of an HIV-1 model with both virus-to-cell and cell-to-cell transmissions, immune responses, and three delays, An HIV stochastic model with cell-to-cell infection, B-cell immune response and distributed delay, Viral dynamics with immune responses: effects of distributed delays and Filippov antiretroviral therapy, Modelling HIV dynamics with cell‐to‐cell transmission and CTL response, Dynamics of fractional order HIV infection model with antibody and cytotoxic t-lymphocyte immune responses, Modeling the intracellular pathogen-immune interaction with cure rate, Traveling waves for a diffusive virus infection model with humoral immunity, cell‐to‐cell transmission, and nonlinear incidence, Bifurcation analysis of macrophages infection model with delayed immune response, Delayed model for HIV infection with drug effects, Global dynamics of a reaction-diffusion virus infection model with humoral immunity and nonlinear incidence, Dynamical analysis of a delayed HIV virus dynamic model with cell-to-cell transmission and apoptosis of bystander cells, Threshold dynamics of HCV model with cell-to-cell transmission and a non-cytolytic cure in the presence of humoral immunity, Environmental variability in a stochastic HIV infection model, Global stability of a diffusive and delayed virus dynamics model with Crowley-Martin incidence function and CTL immune response, Dynamical analysis of EIAV infection with cytotoxic T-lymphocyte immune response delay, A discrete-time analog for coupled within-host and between-host dynamics in environmentally driven infectious disease, Hopf bifurcation and stability of periodic solutions for delay differential model of HIV infection of CD4 T-cells, Global dynamics for discrete-time analog of viral infection model with nonlinear incidence and CTL immune response, Andronov-Hopf bifurcation and sensitivity analysis of a time-delay HIV model with logistic growth and antiretroviral treatment, A stochastic HIV infection model with latent infection and antiretroviral therapy, Stability and Hopf bifurcation for a five-dimensional virus infection model with Beddington–DeAngelis incidence and three delays, A delayed HIV infection model with apoptosis and viral loss, Viral dynamics of a latent HIV infection model with Beddington-DeAngelis incidence function, B-cell immune response and multiple delays, A stochastic HIV infection model with T-cell proliferation and CTL immune response, The role of CD4 T cells in immune system activation and viral reproduction in a simple model for HIV infection, Modeling and analysis of recurrent autoimmune disease, Backward bifurcation in within-host HIV models, Stationary distribution and probability density function analysis of a stochastic HIV model with cell-to-cell infection, Analysis and optimal control of an intracellular delayed HIV model with CTL immune response, Global stability of a diffusive and delayed virus infection model with general incidence function and adaptive immune response, Stability and Hopf bifurcation of an HIV infection model with saturation incidence and two delays, Modeling the role of acquired immune response and antiretroviral therapy in the dynamics of HIV infection, Dynamical analysis of antigen-driven t-cell infection model with multiple delays, Global stability of delayed viral infection models with nonlinear antibody and CTL immune responses and general incidence rate, On an age-structured hepatitis B virus infection model with HBV DNA-containing capsids, Dynamical analysis of a delayed reaction-diffusion virus infection model with logistic growth and humoral immune impairment, Stationary distribution and extinction of a stochastic viral infection model, Dynamics of a new HIV model with the activation status of infected cells, Stability and Hopf bifurcation of a delayed virus infection model with Beddington-DeAngelis infection function and cytotoxic T-lymphocyte immune response, Stability and Hopf bifurcation analysis of immune response delayed HIV type 1 infection model with two target cells, Viral dynamics of HIV-1 with CTL immune response, Modeling within-host viral dynamics: the role of CTL immune responses in the evolution of drug resistance, Mathematical Analysis of the Dynamics of HIV Infection with CTL Immune Response and Cure Rate, The effects of CTL immune response on HIV infection model with potent therapy, latently infected cells and cell-to-cell viral transmission, Viral dynamics of an HIV stochastic model with cell-to-cell infection, CTL immune response and distributed delays, Global dynamics of an age-structured within-host viral infection model with cell-to-cell transmission and general humoral immunity response, Optimal harvesting policy of a prey–predator model with Crowley–Martin-type functional response and stage structure in the predator, Dynamics of prey-predator model with stage structure in prey including maturation and gestation delays, A delayed HIV-1 model with virus waning term, Analysis of an HIV model with immune responses and cell-to-cell transmission, Unnamed Item, Stability and Hopf bifurcation of a delayed virus infection model with latently infected cells and Beddington–DeAngelis incidence, Stationary distribution of an HIV model with general nonlinear incidence rate and stochastic perturbations, Transmission dynamics of a general temporal-spatial vector-host epidemic model with an application to the dengue fever in Guangdong, China, Hopf bifurcation in a CTL-inclusive HIV-1 infection model with two time delays, Global analysis of a multi-group viral infection model with age structure, Bifurcation analysis of HIV infection model with antibody and cytotoxic T‐lymphocyte immune responses and Beddington–DeAngelis functional response, Optimal control using linear feedback control and neutralizing antibodies for an HIV model with dynamical analysis, Optimal control of an HIV model with a trilinear antibody growth function
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- HIV-1 infection and low steady state viral loads
- Joint effects of mitosis and intracellular delay on viral dynamics: two-parameter bifurcation analysis
- Monte Carlo estimates of natural variation in HIV infection
- Dynamics of a HIV-1 infection model with cell-mediated immune response and intracellular delay
- Influence of backward bifurcation in a model of hepatitis B and C viruses
- Introduction to functional differential equations
- A delay-differential equation model of HIV infection of \(\text{CD}4^+\) T-cells
- Dynamics of HIV infection of CD4\(^ +\) T cells
- Optimal HIV treatment by maximising immune response
- A model of HIV-1 pathogenesis that includes an intracellular delay
- Natural variation in HIV infection: Monte Carlo estimates that include CD8 effector cells
- Oscillatory viral dynamics in a delayed HIV pathogenesis model
- Emergence of HIV-1 drug resistance during antiretroviral treatment
- Global stability in a viral infection model with lytic and nonlytic immune responses
- Estimating kinetic parameters from HIV primary infection data through the eyes of three different mathematical models
- A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code
- Mathematical Analysis of HIV-1 Dynamics in Vivo
- Virus Dynamics: A Global Analysis
- Sensitivity and Uncertainty Analysis of Complex Models of Disease Transmission: An HIV Model, as an Example
