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Mathematical Biosciences and Engineering

2006, Volume 3, Issue 2: 297-312. doi: 10.3934/mbe.2006.3.297
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The Effects of Vertical Transmission on the Spread of HIV/AIDS in the Presence of Treatment

  • 1.
    Department of Basic Sciences, Botswana College of Agriculture, Private Bag 0027, Gaborone
  • 2.
    Department of Mathematics, University of Botswana, Private Bag 0022, Gaborone
  • Received: 01 September 2005 Accepted: 29 June 2018 Published: 01 February 2006

  • MSC : 37N25.

  • 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.

    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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  • 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.


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    2. F. Nyabadza, Z. Mukandavire, S.D. Hove-Musekwa, Modelling the HIV/AIDS epidemic trends in South Africa: Insights from a simple mathematical model, 2011, 12, 14681218, 2091, 10.1016/j.nonrwa.2010.12.024
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  • © 2006 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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