Global dynamics of a diffusive and delayed viral infection model with cellular infection and nonlinear infection rate
type: Item
instance of: scholarly article
title: Global dynamics of a diffusive and delayed viral infection model with cellular infection and nonlinear infection rate
zbMATH Open document ID: 1368.92196
author: Jinhu Xu
author: Yan Geng
author: Jiangyong Hou
publication date: 2017-08-18T00:00:00Z
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 92C60
Mathematics Subject Classification ID: 35B09
zbMATH DE Number: 6762053
zbMATH Keywords: diffusive
zbMATH Keywords: delayed
zbMATH Keywords: general nonlinear incidence
zbMATH Keywords: cell-to-cell transmission
zbMATH Keywords: Lyapunov functionals
MaRDI profile type: Publication
full work available at URL: j.camwa.2016.12.032
OpenAlex ID: W2577860955
cites work: Dynamics of HIV infection of CD4\(^ +\) T cells
cites work: Global properties of basic virus dynamics models
cites work: Dynamics of an HBV model with diffusion and delay
cites work: Dynamics of a food-limited population model incorporating nonlocal delays on a finite domain
cites work: Global stability of a virus dynamics model with Beddington-DeAngelis incidence rate and CTL immune response
cites work: Global stability of a nonlinear viral infection model with infinitely distributed intracellular delays and CTL immune responses
cites work: Global stability of a diffusive and delayed virus dynamics model with Beddington-DeAngelis incidence function and CTL immune response
cites work: Modeling HIV-1 Virus Dynamics with Both Virus-to-Cell Infection and Cell-to-Cell Transmission
cites work: Threshold dynamics of HIV-1 virus model with cell-to-cell transmission, cell-mediated immune responses and distributed delay
cites work: Nonstandard finite difference scheme for a diffusive within-host virus dynamics model with both virus-to-cell and cell-to-cell transmissions
cites work: A mathematical model of cell-to-cell spread of HIV-1 that includes a time delay
cites work: Modeling cell-to-cell spread of HIV-1 with logistic target cell growth
cites work: Global dynamics of a delayed within-host viral infection model with both virus-to-cell and cell-to-cell transmissions
cites work: Global dynamics of a virus dynamical model with cell-to-cell transmission and cure rate
cites work: Analysis of an HIV infection model with logistic target-cell growth and cell-to-cell transmission
cites work: Bifurcation analysis of HIV-1 infection model with cell-to-cell transmission and immune response delay
cites work: Dynamics of a PDE viral infection model incorporating cell-to-cell transmission
cites work: A generalized virus dynamics model with cell-to-cell transmission and cure rate
cites work: Analysis of an age structured HIV infection model with virus-to-cell infection and cell-to-cell transmission
cites work: Stability analysis in delayed within-host viral dynamics with both viral and cellular infections
cites work: Global analysis of within host virus models with cell-to-cell viral transmission
cites work: Global stability for an \textit{SEI} model of infectious disease with immigration
cites work: Dynamic theory of quasilinear parabolic equations—I. Abstract evolution equations
cites work: Dynamic theory of quasilinear parabolic equations. II: Reaction-diffusion systems
cites work: Dynamic theory of quasilinear parabolic systems. III: Global existence
cites work: Q5533735
cites work: Complete global stability for an SIR epidemic model with delay - distributed or discrete
cites work: Global stability for reaction-diffusion equations in biology
cites work: A generalized HBV model with diffusion and two delays
cites work: Introduction to functional differential equations
DOI: 10.1016/J.CAMWA.2016.12.032
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 6762053