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 |
|---|---|
| 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 |
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All Science Journal Classification (ASJC) codes
- Medicine(all)
- Modelling and Simulation
- Agricultural and Biological Sciences(all)
- Computational Mathematics
- Applied Mathematics
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The effects of vertical transmission on the spread of HIV/AIDS in the presence of treatment. / Kgosimore, Moatlhodi; Lungu, Edward M.
In: Mathematical Biosciences and Engineering, Vol. 3, No. 2, 01.04.2006, p. 297-312.Research output: Contribution to journal › Article
TY - JOUR
T1 - The effects of vertical transmission on the spread of HIV/AIDS in the presence of treatment
AU - Kgosimore, Moatlhodi
AU - Lungu, Edward M.
PY - 2006/4/1
Y1 - 2006/4/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=33846888513&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=33846888513&partnerID=8YFLogxK
M3 - Article
C2 - 20361825
AN - SCOPUS:33846888513
VL - 3
SP - 297
EP - 312
JO - Mathematical Biosciences and Engineering
JF - Mathematical Biosciences and Engineering
SN - 1547-1063
IS - 2
ER -