Impact of adaptive immune response and cellular infection on delayed virus dynamics with multi-stages of infected cells
DOI10.1142/S1793524520500035zbMath1434.34070OpenAlexW2988604328WikidataQ126803992 ScholiaQ126803992MaRDI QIDQ5215545
Ahmed M. Elaiw, N. H. AlShamrani
Publication date: 12 February 2020
Published in: International Journal of Biomathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s1793524520500035
Lyapunov functionglobal stabilityadaptive immune responseviral and cellular infectionsmulti-staged infected cells
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)
Cites Work
- Global threshold dynamics in a five-dimensional virus model with cell-mediated, humoral immune responses and distributed delays
- Stability analysis in delayed within-host viral dynamics with both viral and cellular infections
- Global stability for an HIV-1 infection model with Beddington-DeAngelis incidence rate and CTL immune response
- Global dynamics of a mathematical model for HTLV-I infection of \(CD4^{+}T\) cells with delayed CTL response
- Delay differential equations: with applications in population dynamics
- Global stability of a diffusive virus dynamics model with general incidence function and time delay
- Global stability of humoral immunity virus dynamics models with nonlinear infection rate and removal
- Global dynamics of a delayed within-host viral infection model with both virus-to-cell and cell-to-cell transmissions
- Global properties of a class of HIV models
- Dynamical behavior of a virus dynamics model with CTL immune response
- Introduction to functional differential equations
- A mathematical model of cell-to-cell spread of HIV-1 that includes a time delay
- A delay-differential equation model of HIV infection of \(\text{CD}4^+\) T-cells
- Impacts of the cell-free and cell-to-cell infection modes on viral dynamics
- Mathematical model of immune response to hepatitis B
- Global properties of delayed-HIV dynamics models with differential drug efficacy in cocirculating target cells
- Viral dynamics of an HTLV-I infection model with intracellular delay and CTL immune response delay
- Stability of delayed pathogen dynamics models with latency and two routes of infection
- Effect of cellular reservoirs and delays on the global dynamics of HIV
- Stability of delayed HIV dynamics models with two latent reservoirs and immune impairment
- Threshold dynamics of HIV-1 virus model with cell-to-cell transmission, cell-mediated immune responses and distributed delay
- Threshold dynamics of an HIV-1 virus model with both virus-to-cell and cell-to-cell transmissions, intracellular delay, and humoral immunity
- Permanence and positive periodic solution for a single-species nonautonomous delay diffusive models
- Global properties of a class of virus infection models with multitarget cells
- Virus dynamics in the presence of synaptic transmission
- Dynamics of an HBV/HCV infection model with intracellular delay and cell proliferation
- Dynamical analysis of antigen-driven t-cell infection model with multiple delays
- Hopf bifurcation in a CTL-inclusive HIV-1 infection model with two time delays
- Global properties of virus dynamics with B-cell impairment
- Dynamics of two time delays differential equation model to HIV latent infection
- Stabilization in a chemotaxis model for virus infection
- Dynamics of a diffusive virus model with general incidence function, cell-to-cell transmission and time delay
- Threshold dynamics of HCV model with cell-to-cell transmission and a non-cytolytic cure in the presence of humoral immunity
- Global dynamics of reaction-diffusion oncolytic M1 virotherapy with immune response
- Global properties of a general latent pathogen dynamics model with delayed pathogenic and cellular infections
- Mathematical analysis of a transformed ODE from a PDE multiscale model of hepatitis C virus infection
- The stability analysis of a general viral infection model with distributed delays and multi-staged infected progression
- Stability of discrete-time HIV dynamics models with three categories of infected CD \(4^+\) T-cells
- From a multiscale derivation of nonlinear cross-diffusion models to Keller–Segel models in a Navier–Stokes fluid
- Global Stability of a Nonlinear Viral Infection Model with Infinitely Distributed Intracellular Delays and CTL Immune Responses
- Lyapunov Functions and Global Stability for Age-Structured HIV Infection Model
- Stability of a general delay‐distributed virus dynamics model with multi‐staged infected progression and immune response
- How does within‐host dynamics affect population‐level dynamics? Insights from an immuno‐epidemiological model of malaria
- Modeling HIV-1 Virus Dynamics with Both Virus-to-Cell Infection and Cell-to-Cell Transmission
- Global Stability for a Virus Dynamics Model with Nonlinear Incidence of Infection and Removal
- Global dynamics of delay‐distributed HIV infection models with differential drug efficacy in cocirculating target cells
- Mathematical Analysis of HIV-1 Dynamics in Vivo
- Stability of an adaptive immunity pathogen dynamics model with latency and multiple delays
- Analysis of within-host CHIKV dynamics models with general incidence rate
- Stability of general virus dynamics models with both cellular and viral infections and delays
- Dynamical Analysis of Multipathways and Multidelays of General Virus Dynamics Model
- Global properties of a class of HIV infection models with Beddington–DeAngelis functional response
- Stability analysis of general humoral immunity HIV dynamics models with discrete delays and HAART
- Occurrence vs. Absence of Taxis-Driven Instabilities in a May--Nowak Model for Virus Infection
- Stability analysis of a general discrete-time pathogen infection model with humoral immunity
- Heterogeneous population dynamics of active particles: Progression, mutations, and selection dynamics
- Lyapunov Functionals for Delay Differential Equations Model of Viral Infections
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