The Effects of Vertical Transmission on the Spread of HIV/AIDS in the Presence of Treatment

In this study, we develop a model that incorporates treatment ofboth juveniles who were infected with HIV/AIDS through verticaltransmission and HIV/AIDS-infected adults. We derive conditionsunder which the burden of HIV/AIDS can be reduced in the populationboth in the absence of and in the presence...

Full description

Saved in:
Bibliographic Details
Main Authors: Moatlhodi Kgosimore, Edward M. Lungu
Format: Article
Language:English
Published: AIMS Press 2006-01-01
Series:Mathematical Biosciences and Engineering
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/mbe.2006.3.297
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this study, we develop a model that incorporates treatment ofboth juveniles who were infected with HIV/AIDS through verticaltransmission and HIV/AIDS-infected adults. We derive conditionsunder which the burden of HIV/AIDS can be reduced in the populationboth in the absence of and in the presence of vertical transmission.We have determined the critical threshold parameter ($R_v^*$), whichrepresents the demographic replacement of infectives throughvertical transmission, below which treated infected juveniles canreach adulthood without causing an epidemic. Five countries insub-Saharan Africa are used to illustrate our results. We haveconcluded that $R_v^*$ is dependent on the current prevalence ratebut that a significant proportion of infected juveniles receivingtreatment can reach adulthood without causing an epidemic.
ISSN:1551-0018