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

Moatlhodi Kgosimore, Edward M. Lungu

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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.

Original languageEnglish
Pages (from-to)297-312
Number of pages16
JournalMathematical Biosciences and Engineering
Issue number2
Publication statusPublished - 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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