The effects of vertical transmission on the spread of HIV/AIDS in the presence of treatment

Moatlhodi Kgosimore; Edward M. Lungu

The effects of vertical transmission on the spread of HIV/AIDS in the presence of treatment

Moatlhodi Kgosimore, Edward M. Lungu

Mathematics & Statistical Sciences

Research output: Contribution to journal › Article › peer-review

16 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	297-312
Number of pages	16
Journal	Mathematical Biosciences and Engineering
Volume	3
Issue number	2
Publication status	Published - Apr 1 2006

All Science Journal Classification (ASJC) codes

Medicine(all)
Modelling and Simulation
Agricultural and Biological Sciences(all)
Computational Mathematics
Applied Mathematics

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