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

Moatlhodi Kgosimore, Edward M. Lungu

Research output: Contribution to journalArticle

12 Citations (Scopus)

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 languageEnglish
Pages (from-to)297-312
Number of pages16
JournalMathematical Biosciences and Engineering
Volume3
Issue number2
Publication statusPublished - Apr 1 2006

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Vertical Transmission
Acquired Immunodeficiency Syndrome
HIV
adulthood
Critical Threshold
Threshold Parameter
Africa South of the Sahara
Sub-Saharan Africa
Replacement
Proportion
demographic statistics
Demography
Dependent
Population
Model

All Science Journal Classification (ASJC) codes

  • Medicine(all)
  • Modelling and Simulation
  • Agricultural and Biological Sciences(all)
  • Computational Mathematics
  • Applied Mathematics

Cite this

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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 journalArticle

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