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...
Saved in:
Main Authors: | , |
---|---|
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!
|
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 |