Modelling circumcision and condom use as HIV/AIDS preventive control strategies

Z. Mukandavire, K. Bowa, W. Garira

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

We present a sex-structured model for heterosexual transmission of HIV/AIDS with explicit incubation period for modelling the effect of male circumcision as a preventive strategy for HIV/AIDS. The model is formulated using integro-differential equations, which are shown to be equivalent to delay differential equations with delay due to incubation period. The threshold and equilibria for the model are determined and stabilities are examined. We extend the model to incorporate the effects of condom use as another preventive strategy for controlling HIV/AIDS. Basic reproductive numbers for these models are computed and compared to assess the effectiveness of male circumcision and condom use in a community. The models are numerically analysed to assess the effects of the two preventive strategies on the transmission dynamics of HIV/AIDS. We conclude from the study that in the continuing absence of a preventive vaccine or cure for HIV/AIDS, male circumcision is a potential effective preventive strategy of HIV/AIDS to help communities slow the development of the HIV/AIDS epidemic and that it is even more effective if implemented jointly with condom use. The study provides insights into the possible community benefits that male circumcision and condom use as preventive strategies provide in slowing or curtailing the HIV/AIDS epidemic. © 2007 Elsevier Ltd. All rights reserved.
Original languageEnglish
Pages (from-to)1353-1372
Number of pages20
JournalMathematical and Computer Modelling
Volume46
Issue number11-12
Early online date11 Feb 2007
DOIs
Publication statusPublished - Dec 2007

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Control Strategy
Modeling
Model
Basic Reproductive number
Vaccines
Integrodifferential equations
Vaccine
Effective Potential
Delay Differential Equations
Integro-differential Equation
Differential equations
Strategy
Community

Keywords

  • Basic reproductive number
  • Condom use
  • HIV/AIDS model
  • Heterosexual transmission
  • Male circumcision

Cite this

Modelling circumcision and condom use as HIV/AIDS preventive control strategies. / Mukandavire, Z.; Bowa, K.; Garira, W.

In: Mathematical and Computer Modelling, Vol. 46, No. 11-12, 12.2007, p. 1353-1372.

Research output: Contribution to journalArticle

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