HIV/AIDS model with early detection and treatment
type: Item
instance of: scholarly article
title: HIV/AIDS model with early detection and treatment
zbMATH Open document ID: 1264.34096
DOI: 10.5402/2012/185939
author: Augustine S. Mbitila
author: J. Michel Tchuenche
published in: ISRN Applied Mathematics
publication date: 2013-06-11T00:00:00Z
review text: Summary: A classical epidemiological framework is used to qualitatively assess the impact of early detection and treatment on the dynamics of HIV/AIDS. Within this theoretical framework, two classes of infected populations: those infected but unaware of their serological status and those who are aware of their disease status, are considered. In this context, we formulate and analyze a deterministic model for the transmission dynamics of HIV/AIDS and assess the potential population-level impact of early detection in curtailing the epidemic. A critical threshold parameter for which case detection will have a positive impact is derived. Model parameters sensitivity analysis indicates that the number of partners is the most sensitive (in increasing the average number of secondary transmission) parameter. However, the case detection coverage is the main drivers in reducing the initial disease transmission. Numerical simulations of the model are provided to support the analytical results. Early detection and treatment alone are insufficient to eliminate the disease, and other control strategies are to be explored.
Mathematics Subject Classification ID: 34C60
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 37N25
zbMATH DE Number: 6172926
zbMATH Keywords: control strategies
zbMATH Keywords: case detection coverage
zbMATH Keywords: population-level impact
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.5402/2012/185939
OpenAlex ID: W1970207096
Wikidata QID: Q58690050
cites work: Permanence and the dynamics of biological systems
cites work: A mathematical analysis of malaria and tuberculosis co-dynamics
cites work: Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
cites work: On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
cites work: Q3995013
cites work: Determining important parameters in the spread of malaria through the sensitivity analysis of a mathematical model
cites work: Sex-structured HIV/AIDS model to analyse the effects of condom use with application to Zimbabwe
cites work: Optimal control and infectiology: Application to an HIV/AIDS model
description: scientific article; zbMATH DE number 6172926