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 (Rv*), 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 Rv* 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 |
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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