Stability and Hopf bifurcation of a delayed virus infection model with Beddington-DeAngelis infection function and cytotoxic T-lymphocyte immune response
DOI10.1002/mma.3455zbMath1337.34086OpenAlexW2118450330MaRDI QIDQ2795287
Publication date: 18 March 2016
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.3455
global stabilityHopf bifurcationLyapunov functionalCTL immune responseBeddington-DeAngelis infection function
Epidemiology (92D30) Stability theory of functional-differential equations (34K20) Periodic solutions to functional-differential equations (34K13) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Bifurcation theory of functional-differential equations (34K18) Medical epidemiology (92C60) Stationary solutions of functional-differential equations (34K21)
Related Items
Cites Work
- Viral dynamics model with CTL immune response incorporating antiretroviral therapy
- Hopf bifurcation analysis of delayed model of thymic infection with HIV-1
- Stability and Hopf bifurcation in a viral infection model with nonlinear incidence rate and delayed immune response
- Global stability of a virus dynamics model with Beddington-DeAngelis incidence rate and CTL immune response
- Global stability of a delayed HIV infection model with nonlinear incidence rate
- Global dynamics of a viral infection model with a latent period and Beddington-DeAngelis response
- Global stability of an HIV-1 infection model with saturation infection and intracellular delay
- Impact of intracellular delay, immune activation delay and nonlinear incidence on viral dynamics
- Dynamics of a HIV-1 infection model with cell-mediated immune response and intracellular delay
- Global stability and periodic solution of the viral dynamics
- Complex dynamic behavior in a viral model with delayed immune response
- Global properties for virus dynamics model with Beddington-DeAngelis functional response
- Permanence and positive periodic solution for a single-species nonautonomous delay diffusive models
- Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
- Global properties of a class of virus infection models with multitarget cells
- Global threshold dynamics in an HIV virus model with nonlinear infection rate and distributed invasion and production delays
- Analysis of a CD4\(^+\) T cell viral infection model with a class of saturated infection rate
- Global stability for a delayed HIV-1 infection model with nonlinear incidence of infection
- Global dynamics of a virus dynamical model with general incidence rate and cure rate
- Asymptotic properties of a HIV-1 infection model with time delay
- GLOBAL STABILITY OF THE VIRAL DYNAMICS WITH CROWLEY-MARTIN FUNCTIONAL RESPONSE
- Global asymptotic properties of virus dynamics models with dose-dependent parasite reproduction and virulence and non-linear incidence rate
- A class of delayed viral models with saturation infection rate and immune response
- Global properties of a class of HIV infection models with Beddington–DeAngelis functional response
- Bifurcation analysis of HIV infection model with antibody and cytotoxic T‐lymphocyte immune responses and Beddington–DeAngelis functional response
- Impact of Intracellular Delays and Target-Cell Dynamics on In Vivo Viral Infections
- Lyapunov Functionals for Delay Differential Equations Model of Viral Infections