Dynamical behaviors of a general humoral immunity viral infection model with distributed invasion and production
From MaRDI portal
Publication:2977883
DOI10.1142/S1793524517500358zbMath1365.34139WikidataQ111491134 ScholiaQ111491134MaRDI QIDQ2977883
Ahmed M. Elaiw, N. H. AlShamrani, Khalid Hattaf
Publication date: 20 April 2017
Published in: International Journal of Biomathematics (Search for Journal in Brave)
Asymptotic theory of functional-differential equations (34K25) Stability theory of functional-differential equations (34K20) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Medical epidemiology (92C60)
Related Items (8)
Global dynamics of a diffusive viral infection model with general incidence function and distributed delays ⋮ Analysis of within-host CHIKV dynamics models with general incidence rate ⋮ Stability of delayed pathogen dynamics models with latency and two routes of infection ⋮ Stability of delayed HIV dynamics models with two latent reservoirs and immune impairment ⋮ Analysis of latent CHIKV dynamics models with general incidence rate and time delays ⋮ Stability analysis of general humoral immunity HIV dynamics models with discrete delays and HAART ⋮ Spatiotemporal Dynamics of a Class of Models Describing Infectious Diseases ⋮ Global dynamics of delayed CHIKV infection model with multitarget cells
Cites Work
- Unnamed Item
- Global properties of basic virus dynamics models
- Global stability of in-host viral models with humoral immunity and intracellular delays
- Global stability and periodic solution of the viral dynamics
- Global stability of a diffusive virus dynamics model with general incidence function and time delay
- Global stability of humoral immunity virus dynamics models with nonlinear infection rate and removal
- Global properties of a class of HIV models
- Global properties of an improved hepatitis B virus model
- Global properties for virus dynamics model with Beddington-DeAngelis functional response
- Introduction to functional differential equations
- Stability of virus infection models with antibodies and chronically infected cells
- Permanence and positive periodic solution for a single-species nonautonomous delay diffusive models
- Mathematical analysis of the global dynamics of a model for HTLV-I infection and ATL progression
- 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
- Stability and Hopf bifurcation for a virus infection model with delayed humoral immunity response
- Global stability analysis for delayed virus infection model with general incidence rate and humoral immunity
- HIV dynamics: analysis and robust multirate MPC-based treatment schedules
- Stability analysis of pathogen-immune interaction dynamics
- Mathematical analysis of the global dynamics of a model for HIV infection of CD4\(^{+}\) T cells
- Backward bifurcation in a mathematical model for HIV infection \textit{in vivo} with anti-retroviral treatment
- Global properties of a cell mediated immunity in HIV infection model with two classes of target cells and distributed delays
- Global stability analysis of humoral immunity virus dynamics model including latently infected cells
- Global Stability for a Virus Dynamics Model with Nonlinear Incidence of Infection and Removal
- Global properties of nonlinear humoral immunity viral infection models
- Global properties of a class of HIV infection models with 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
This page was built for publication: Dynamical behaviors of a general humoral immunity viral infection model with distributed invasion and production