Dynamics analysis of a viral infection model with a general standard incidence rate
type: Item
instance of: scholarly article
title: Dynamics analysis of a viral infection model with a general standard incidence rate
zbMATH Open document ID: 1406.92580
DOI: 10.1155/2014/586035
author: Yu Ji
author: Muxuan Zheng
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: The basic viral infection models, proposed by Nowak et al. and Perelson et al., respectively, have been widely used to describe viral infection such as HBV and HIV infection. However, the basic reproduction numbers of the two models are proportional to the number of total cells of the host's organ prior to the infection, which seems not to be reasonable. In this paper, we formulate an amended model with a general standard incidence rate. The basic reproduction number of the amended model is independent of total cells of the host's organ. When the basic reproduction number \(R_0 < 1\), the infection-free equilibrium is globally asymptotically stable and the virus is cleared. Moreover, if \(R_0 > 1\), then the endemic equilibrium is globally asymptotically stable and the virus persists in the host.
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 34D23
zbMATH DE Number: 7022661
zbMATH Keywords: viral infection model
zbMATH Keywords: infection-free equilibrium
zbMATH Keywords: global asymptotic stability
Wikidata QID: Q59039667
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/586035
OpenAlex ID: W2063047638
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description: scientific article; zbMATH DE number 7022661