Global dynamics of an HTLV-1 model with cell-to-cell infection and mitosis
type: Item
instance of: scholarly article
title: Global dynamics of an HTLV-1 model with cell-to-cell infection and mitosis
zbMATH Open document ID: 1406.92593
DOI: 10.1155/2014/132781
author: Yicang Zhou
author: Su-Mei Li
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: A mathematical model of human T-cell lymphotropic virus type 1 in vivo with cell-to-cell infection and mitosis is formulated and studied. The basic reproductive number \(R_0\) is derived. It is proved that the dynamics of the model can be determined completely by the magnitude of \(R_0\). The infection-free equilibrium is globally asymptotically stable (unstable) if \(R_0 < 1\) (\(R_0 > 1\)). There exists a chronic infection equilibrium and it is globally asymptotically stable if \(R_0 > 1\).
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 34D23
zbMATH DE Number: 7021779
zbMATH Keywords: HTLV-1 model
zbMATH Keywords: cell-to-cell infection
zbMATH Keywords: mitosis
zbMATH Keywords: global stability
Wikidata QID: Q59035377
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/132781
OpenAlex ID: W2133115019
cites work: Backward bifurcation in a model for HTLV-I infection of CD4\(^{+}\) T cells
cites work: Modelling the role of tax expression in HTLV-I persistence in vivo
cites work: Q4449282
cites work: Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
cites work: Permanence and positive periodic solution for a single-species nonautonomous delay diffusive models
cites work: Dynamical systems in population biology
cites work: Systems of Ordinary Differential Equations Which Generate an Order Preserving Flow. A Survey of Results
cites work: Q4407547
cites work: Q4834372
description: scientific article; zbMATH DE number 7021779