Subthreshold domain of bistable equilibria for a model of HIV epidemiology
type: Item
instance of: scholarly article
title: Subthreshold domain of bistable equilibria for a model of HIV epidemiology
zbMATH Open document ID: 1031.92023
DOI: 10.1155/S0161171203209224
author: B. D. Corbett
author: Seyed M. Moghadas
author: Abba B. Gumel
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2003-12-03T00:00:00Z
full work available at URL: https://eudml.org/doc/50593
review text: Summary: A homogeneously mixing population model for HIV transmission, which incorporates an anti-HIV preventive vaccine, is studied qualitatively. The local and global stability analysis of the associated equilibria of the model reveals that the model can have multiple stable equilibria simultaneously. The epidemiological consequence of this (bistability) phenomenon is that the disease may still persist in the community even when the classical requirement of the basic reproductive number of infection (\(\mathcal{R}_0\)) being less than unity is satisfied. It is shown that under specific conditions, the community-wide eradication of HIV is feasible if \(\mathcal{R}_0<\mathcal{R}_*\), where \(\mathcal{R}_*\) is some threshold quantity less than unity. Furthermore, for the bistability case (which occurs when \(\mathcal{R}_*<\mathcal{R}_0<1\)), it is shown that HIV eradication is dependent on the initial sizes of the subpopulations of the model.
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 37C75
Mathematics Subject Classification ID: 37N25
Mathematics Subject Classification ID: 34D05
Mathematics Subject Classification ID: 34D23
zbMATH DE Number: 2012639
MaRDI profile type: Publication
OpenAlex ID: W2102239241
description: scientific article; zbMATH DE number 2012639