Open AccessThe Effects of Vertical Transmission on the Spread of HIV/AIDS in the Presence of Treatment
Author(s) -
Moatlhodi Kgosimore,
Edward M. Lungu
Publication year - 2006
Publication title -
mathematical biosciences and engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.451
H-Index - 45
eISSN - 1551-0018
pISSN - 1547-1063
DOI - 10.3934/mbe.2006.3.297
Subject(s) - transmission (telecommunications) , demography , human immunodeficiency virus (hiv) , transmission rate , horizontal transmission , population , medicine , virology , biology , environmental health , telecommunications , virus , computer science , sociology
In this study, we develop a model that incorporates treatment of both juveniles who were infected with HIV/AIDS through vertical transmission and HIV/AIDS-infected adults. We derive conditions under which the burden of HIV/AIDS can be reduced in the population both in the absence of and in the presence of vertical transmission. We have determined the critical threshold parameter (R(*)(v)), which represents the demographic replacement of infectives through vertical transmission, below which treated infected juveniles can reach adulthood without causing an epidemic. Five countries in sub-Saharan Africa are used to illustrate our results. We have concluded that R(*)(v) is dependent on the current prevalence rate but that a significant proportion of infected juveniles receiving treatment can reach adulthood without causing an epidemic.