Stability analysis of an in-host viral model with cure of infected cells and humoral immunity
type: Item
instance of: scholarly article
title: Stability analysis of an in-host viral model with cure of infected cells and humoral immunity
zbMATH Open document ID: 1397.92409
DOI: 10.1155/2013/102757
author: Hui Wang
author: Rong Wang
author: Zhixing Hu
author: Fucheng Liao
published in: Journal of Applied Mathematics
publication date: 2018-10-10T00:00:00Z
review text: Summary: An in-host viral model with cure of infected cells and humoral immunity is studied. We prove that the stability is completely determined by the basic reproductive number \(R_0\) and show that the infection-free equilibrium \(E_0\) is globally asymptotically stable if and only if \(R_0\leq 1\). Moreover, if \(R_0>1\), the infection equilibrium is locally asymptotically stable when the time delay \(\tau_0\) is small and it loses stability as the length of the time delay increases past a critical value \(\tau_0\). Finally, we confirm our analysis by providing several numerical examples.
Mathematics Subject Classification ID: 92C60
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 34K60
zbMATH DE Number: 6950509
zbMATH Keywords: in-host viral model
zbMATH Keywords: basic reproductive number
zbMATH Keywords: infection-free equilibrium
Wikidata QID: Q59001590
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/102757
OpenAlex ID: W2116333763
DBLP publication ID: journals/jam/WangWHL13
description: scientific article; zbMATH DE number 6950509