Global dynamics of a viral infection model with full logistic terms and antivirus treatments

DOI10.1142/S1793524517500127zbMath1356.34055OpenAlexW2429314959MaRDI QIDQ3181114

Qiang Li, Kaifa Wang, Aijun Fan, Cui . Ma, Li-Juan Song

Publication date: 22 December 2016

Published in: International Journal of Biomathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793524517500127

zbMATH Keywords

uniform persistencevirus dynamics modelVolterra-type Lyapunov functionsustained oscillationLi-Muldowney global-stability criterion

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Qualitative investigation and simulation of ordinary differential equation models (34C60) Global stability of solutions to ordinary differential equations (34D23) Asymptotic properties of solutions to ordinary differential equations (34D05) Medical epidemiology (92C60)

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Global dynamics of an age-structured viral infection model with general incidence function and absorption ⋮ Analysis of an initial value problem for an extracellular and intracellular model of hepatitis C virus infection ⋮ Effect of explicit dynamics of free virus and intracellular delay ⋮ Hemorrhagic fever with renal syndrome in China: Mechanisms on two distinct annual peaks and control measures ⋮ Global stability of a HCV dynamics model with cellular proliferation and delay

Cites Work

• Global properties of basic virus dynamics models
• Global properties for virus dynamics model with mitotic transmission and intracellular delay
• Stability and Hopf bifurcation in a delayed model for HIV infection of CD\(4^+\) T cells
• HIV infection and CD\(4^+\) T cell dynamics
• Analysis of the dynamics of a delayed HIV pathogenesis model
• Threshold dynamics for an HIV model in periodic environments
• Logarithmic norms and projections applied to linear differential systems
• Stability and Hopf bifurcation in a delayed viral infection model with mitosis transmission
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• Modeling the mechanisms of acute hepatitis B virus infection
• Compound matrices and ordinary differential equations
• Modeling the effects of covalently closed circular DNA and dendritic cells in chronic HBV infection
• Backward bifurcation in a mathematical model for HIV infection \textit{in vivo} with anti-retroviral treatment
• BISTABILITY AND LONG-TERM CURE IN A WITHIN-HOST MODEL OF HEPATITIS C
• SATURATION EFFECTS FOR CTL MEDIATED CONTROL OF HIV-1 INFECTION: A MATHEMATICAL STUDY
• Mathematical Analysis of HIV-1 Dynamics in Vivo
• Virus Dynamics: A Global Analysis
• A Geometric Approach to Global-Stability Problems
• Persistence under Relaxed Point-Dissipativity (with Application to an Endemic Model)

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