Stability of an HIV/AIDS treatment model with different stages
type: Item
instance of: scholarly article
title: Stability of an HIV/AIDS treatment model with different stages
zbMATH Open document ID: 1418.92077
DOI: 10.1155/2015/630503
author: Haifeng Huo
author: Rui Chen
published in: Discrete Dynamics in Nature and Society
publication date: 2019-02-19T00:00:00Z
review text: Summary: An HIV/AIDS treatment model with different stages is proposed in this paper. The stage of the HIV infection is divided into two stages, that is, HIV-positive in the asymptomatic stage of HIV infection and HIV-positive individuals in the pre-AIDS stage. The fact that some individuals with HIV-positive individuals after the treatment can be transformed into the compartment of HIV-positive individuals in the asymptomatic stage of HIV infection, the compartment of HIV-positive individuals in the pre-AIDS stage, or the compartment of individuals with full-blown AIDS is also considered. Mathematical analyses establish the idea that the global dynamics of the HIV/AIDS model are determined by the basic reproduction number \(R_0\). The disease-free equilibrium is globally asymptotically stable if \(R_0 < 1\). The endemic equilibrium is globally asymptotically stable if \(R_0 > 1\) for a special case. Numerical simulations are also conducted to support the analytic results.
Mathematics Subject Classification ID: 92C60
Mathematics Subject Classification ID: 92C50
zbMATH DE Number: 7025431
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/630503
OpenAlex ID: W1482942573
Wikidata QID: Q59106052
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description: scientific article; zbMATH DE number 7025431