Global stability for a delayed HIV reactivation model with latent infection and Beddington-DeAngelis incidence
type: Item
instance of: scholarly article
title: Global stability for a delayed HIV reactivation model with latent infection and Beddington-DeAngelis incidence
zbMATH Open document ID: 1471.92374
author: Xinran Zhou
author: Long Zhang
author: Tao Zheng
author: Hong-Li Li
author: Zhidong Teng
published in: Applied Mathematics Letters
publication date: 2021-04-28T00:00:00Z
review text: Taking into account of the lag in the reactivation of latent infection and assuming the lags from virus entering uninfected cell to produce infected and latently infected cells to be random, the authors proposed a within-host HIV model with discrete and distributed delays and the Beddington-DeAngelis incidence. The main result is a threshold dynamics characterized by the basic reproduction number \(R_0\). If \(R_0<1\), then the infection-free equilibrium is globally asymptotically stable while if \(R_0>1\), then the endemic equilibrium is globally asymptotically stable under an addition condition. The results are established through analyzing the characteristic equations and employing the approach of Lyapunov functional. Note that \(R_0\) depends on the lag of reactivation and virus mature time, which implies that large reactivation lag can eliminate virus infection.
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 34K20
zbMATH DE Number: 7340756
zbMATH Keywords: delay
zbMATH Keywords: latent infection
zbMATH Keywords: HIV
zbMATH Keywords: Beddington-DeAngelis functional response
zbMATH Keywords: globally asymptotical stability
reviewed by: Yuming Chen
MaRDI profile type: Publication
full work available at URL: j.aml.2021.107047
OpenAlex ID: W3126043700
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DOI: 10.1016/J.AML.2021.107047
description: scientific article; zbMATH DE number 7340756