Global stability of a delayed viral infection model with nonlinear immune response and general incidence rate

DOI10.3934/dcdsb.2016.21.133zbMath1330.34123OpenAlexW2526500363MaRDI QIDQ894980

Yu Ji, Lan Liu

Publication date: 25 November 2015

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.2016.21.133

zbMATH Keywords

stabilitytime delayimmune responsevirus infectiongeneral incidence rate

Mathematics Subject Classification ID

Epidemiology (92D30) Asymptotic theory of functional-differential equations (34K25) 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 (5)

Spatiotemporal dynamics for a diffusive HIV-1 infection model with distributed delays and CTL immune response ⋮ Global dynamics of a delay virus model with recruitment and saturation effects of immune responses ⋮ Traveling waves for a diffusive virus infection model with humoral immunity, cell‐to‐cell transmission, and nonlinear incidence ⋮ Global stability of a distributed delayed viral model with general incidence rate ⋮ Complete dynamical analysis for a nonlinear HTLV-I infection model with distributed delay, CTL response and immune impairment

Cites Work

• Unnamed Item
• Global dynamics of a mathematical model for HTLV-I infection of \(CD4^{+}T\) cells with delayed CTL response
• Stability and Hopf bifurcation in a viral infection model with nonlinear incidence rate and delayed immune response
• Global dynamics of a viral infection model with a latent period and Beddington-DeAngelis response
• Global analysis for delay virus dynamics model with Beddington-DeAngelis functional response
• Global stability of endemic equilibrium point of basic virus infection model with application to HBV infection
• Stability and Hopf bifurcation of a HIV infection model with CTL-response delay
• Stability properties and Hopf bifurcation of a delayed viral infection model with lytic immune response
• On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
• Global stability and periodic solution of the viral dynamics
• Properties of stability and Hopf bifurcation for a HIV infection model with time delay
• Mathematical analysis of a basic virus infection model with application to HBV infection
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• Mathematical analysis of a virus dynamics model with general incidence rate and cure rate
• Dynamics analysis of a delayed viral infection model with logistic growth and immune impairment
• Dynamics of acute hepatitis B virus infection in chimpanzees
• Global stability of a multiple delayed viral infection model with general incidence rate and an application to HIV infection
• The dynamics of a delay model of hepatitis B virus infection with logistic hepatocyte growth
• Global dynamics of a virus dynamical model with general incidence rate and cure rate
• GLOBAL STABILITY OF THE VIRAL DYNAMICS WITH CROWLEY-MARTIN FUNCTIONAL RESPONSE
• GLOBAL ANALYSIS OF A VIRAL INFECTION MODEL WITH APPLICATION TO HBV INFECTION
• Dynamics of a delay differential equation model of hepatitis B virus infection

This page was built for publication: Global stability of a delayed viral infection model with nonlinear immune response and general incidence rate