Global properties of general viral infection models with humoral immune response
DOI10.1007/s12591-015-0247-9zbMath1378.34073OpenAlexW306291754MaRDI QIDQ1677283
N. H. AlShamrani, Ahmed M. Elaiw
Publication date: 10 November 2017
Published in: Differential Equations and Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12591-015-0247-9
Epidemiology (92D30) 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)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- HIV-1 infection and low steady state viral loads
- Global properties of basic virus dynamics models
- Global dynamics of a mathematical model for HTLV-I infection of \(CD4^{+}T\) cells with delayed CTL response
- Global stability of in-host viral models with humoral immunity and intracellular delays
- Global stability of a virus dynamics model with cure rate and absorption
- Global stability for an HIV-1 infection model including an eclipse stage of infected cells
- Dynamical behaviors of an HBV infection model with logistic hepatocyte growth
- Modeling the adaptive immune response in HBV infection
- Global dynamics of an HIV infection model with two classes of target cells and distributed delays
- Global stability and periodic solution of the viral dynamics
- Stability analysis of a virus dynamics model with general incidence rate and two delays
- Influence of backward bifurcation in a model of hepatitis B and C viruses
- Global properties of a class of HIV models
- Introduction to functional differential equations
- Stability of virus infection models with antibodies and chronically infected cells
- Mathematical analysis of a virus dynamics model with general incidence rate and cure rate
- Global properties of a class of virus infection models with multitarget cells
- Long term dynamics in a mathematical model of HIV-1 infection with delay in different variants of the basic drug therapy model
- Global threshold dynamics in an HIV virus model with nonlinear infection rate and distributed invasion and production delays
- Global stability analysis for delayed virus infection model with general incidence rate and humoral immunity
- Global dynamics of HIV infection of CD4 T cells and macrophages
- Global dynamics of virus infection model with antibody immune response and distributed delays
- Stability analysis of pathogen-immune interaction dynamics
- 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
- A delay virus dynamics model with general incidence rate
- Global Stability of a Nonlinear Viral Infection Model with Infinitely Distributed Intracellular Delays and CTL Immune Responses
- GLOBAL STABILITY OF HIV INFECTION MODELS WITH INTRACELLULAR DELAYS
- Global properties of a cell mediated immunity in HIV infection model with two classes of target cells and distributed delays
- A Hepatitis B and C Virus Model with Age since Infection that Exhibits Backward Bifurcation
- Dynamics of a delay differential equation model of hepatitis B virus infection
- Mathematical Analysis of HIV-1 Dynamics in Vivo
- Global properties of a class of HIV infection models with Beddington–DeAngelis functional response
- GLOBAL ANALYSIS FOR A DELAY-DISTRIBUTED VIRAL INFECTION MODEL WITH ANTIBODIES AND GENERAL NONLINEAR INCIDENCE RATE
This page was built for publication: Global properties of general viral infection models with humoral immune response