Global dynamics for a live-virus-blood model with distributed time delay

DOI10.1142/S179352451750067XzbMath1404.37117OpenAlexW2573880963MaRDI QIDQ5346053

Dingyu Zou, Shifei Wang, Xue-Zhi Li

Publication date: 8 June 2017

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

Full work available at URL: https://doi.org/10.1142/s179352451750067x

zbMATH Keywords

Lyapunov functionalglobal asymptotic stabilitydistributed time delayshepatitis C virus

Mathematics Subject Classification ID

Epidemiology (92D30) Dynamical systems in biology (37N25) Stability of solutions to ordinary differential equations (34D20) Stability theory for smooth dynamical systems (37C75)

Related Items (1)

Global dynamics of an age-structured viral infection model with general incidence function and absorption

Cites Work

• Global properties of basic virus dynamics models
• Influence of backward bifurcation in a model of hepatitis B and C viruses
• Global properties of a class of HIV models
• Stability analysis of delay differential equation models of HIV-1 therapy for fighting a virus with another virus
• Influence of delayed viral production on viral dynamics in HIV-1 infected patients
• Introduction to functional differential equations
• Mathematical analysis of delay differential equation models of HIV-1 infection
• 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
• Modeling hepatitis C virus dynamics: liver regeneration and critical drug efficacy
• GLOBAL STABILITY OF HIV INFECTION MODELS WITH INTRACELLULAR DELAYS
• VIRAL DYNAMICS IN A DISTRIBUTED TIME DELAYED HCV PATHOGENESIS MODEL
• NEW CONDITIONS ON EXISTENCE AND GLOBAL ASYMPTOTIC STABILITY OF PERIODIC SOLUTIONS FOR BAM NEURAL NETWORKS WITH TIME-VARYING DELAYS
• A Hepatitis B and C Virus Model with Age since Infection that Exhibits Backward Bifurcation
• OPTIMALLY CONTROLLED TREATMENT STRATEGY USING INTERFERON AND RIBAVIRIN FOR HEPATITIS C
• GLOBAL PROPERTIES OF A MODEL OF IMMUNE EFFECTOR RESPONSES TO VIRAL INFECTIONS
• Impact of delays in cell infection and virus production on HIV-1 dynamics
• Impact of Intracellular Delays and Target-Cell Dynamics on In Vivo Viral Infections
• Dynamical systems in population biology

This page was built for publication: Global dynamics for a live-virus-blood model with distributed time delay