The Effects of Vertical Transmission on the Spread of HIV/AIDS in the Presence of Treatment
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1.
Department of Basic Sciences, Botswana College of Agriculture, Private Bag 0027, Gaborone
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2.
Department of Mathematics, University of Botswana, Private Bag 0022, Gaborone
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Received:
01 September 2005
Accepted:
29 June 2018
Published:
01 February 2006
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MSC :
37N25.
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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.
Citation: Moatlhodi Kgosimore, Edward M. Lungu. The Effects of Vertical Transmission on the Spread of HIV/AIDS in the Presence of Treatment[J]. Mathematical Biosciences and Engineering, 2006, 3(2): 297-312. doi: 10.3934/mbe.2006.3.297
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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.
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