Global dynamics of a latent HIV infection model with general incidence function and multiple delays
From MaRDI portal
Publication:1755939
DOI10.3934/dcdsb.2018207zbMath1405.34069OpenAlexW2808743308MaRDI QIDQ1755939
Yasuhiro Takeuchi, Yueping Dong, Yu Yang
Publication date: 11 January 2019
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdsb.2018207
Asymptotic theory of functional-differential equations (34K25) Stability theory of functional-differential equations (34K20) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Medical epidemiology (92C60)
Related Items (4)
Spatiotemporal dynamics for a diffusive HIV-1 infection model with distributed delays and CTL immune response ⋮ Global dynamics of a diffusive viral infection model with general incidence function and distributed delays ⋮ Global dynamics of a time-delayed malaria model with asymptomatic infections and standard incidence rate ⋮ Viral dynamics of a latent HIV infection model with Beddington-DeAngelis incidence function, B-cell immune response and multiple delays
Cites Work
- Unnamed Item
- HIV-1 infection and low steady state viral loads
- Global stability for an \textit{SEI} model of infectious disease with immigration
- Stability analysis in delayed within-host viral dynamics with both viral and cellular infections
- A model of HIV-1 infection with two time delays: mathematical analysis and comparison with patient data
- Lyapunov functionals for virus-immune models with infinite delay
- Stability and Hopf bifurcation of an HIV infection model with saturation incidence and two delays
- Lyapunov functionals for multistrain models with infinite delay
- Global analysis on delay epidemiological dynamic models with nonlinear incidence
- Global stability for delay SIR and SEIR epidemic models with nonlinear incidence rate
- A delayed HIV-1 model with virus waning term
- Global stability and periodic solution of the viral dynamics
- BMO estimate to A-harmonic systems with discontinuous coefficients
- Global dynamics of a delayed within-host viral infection model with both virus-to-cell and cell-to-cell transmissions
- Bifurcation analysis of HIV-1 infection model with cell-to-cell transmission and immune response delay
- Global stability for an SIR epidemic model with delay and nonlinear incidence
- Asymmetric division of activated latently infected cells may explain the decay kinetics of the HIV-1 latent reservoir and intermittent viral blips
- 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
- Introduction to functional differential equations
- A delay-differential equation model of HIV infection of \(\text{CD}4^+\) T-cells
- Mathematical analysis of delay differential equation models of HIV-1 infection
- Modeling HIV persistence, the latent reservoir, and viral blips
- Dynamics of HIV infection of CD4\(^ +\) T cells
- Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
- A model of HIV-1 pathogenesis that includes an intracellular delay
- Complex patterns of viral load decay under antiretroviral therapy: influence of pharmacokinetics and intracellular delay
- A delay-dependent model with HIV drug resistance during therapy
- Mathematical analysis of the global dynamics of a model for HIV infection of CD4\(^{+}\) T cells
- Impact of delay on HIV-1 dynamics of fighting a virus with another virus
- Asymptotic properties of a HIV-1 infection model with time delay
- Modeling HIV-1 Virus Dynamics with Both Virus-to-Cell Infection and Cell-to-Cell Transmission
- Analysis of HIV models with two time delays
- Mathematical analysis of an HIV latent infection model including both virus-to-cell infection and cell-to-cell transmission
- Mathematical Analysis of HIV-1 Dynamics in Vivo
- Virus Dynamics: A Global Analysis
- GLOBAL PROPERTIES FOR A CLASS OF LATENT HIV INFECTION DYNAMICS MODEL WITH CTL IMMUNE RESPONSE
- Using Lyapunov Functions to Construct Lyapunov Functionals for Delay Differential Equations
- Impact of Intracellular Delays and Target-Cell Dynamics on In Vivo Viral Infections
- Lyapunov Functionals for Delay Differential Equations Model of Viral Infections
This page was built for publication: Global dynamics of a latent HIV infection model with general incidence function and multiple delays
