Sex-structured HIV/AIDS model to analyse the effects of condom use with application to Zimbabwe

Z Mukandavire, W Garira

Research output: Contribution to journalArticle

45 Citations (Scopus)

Abstract

We present a sex-structured model for heterosexual transmission of HIV/AIDS in a community. The model is formulated using integro-differential equations, which are shown to be equivalent to delay differential equations with a time delay due to incubation period. The sex-structured HIV/AIDS model divides the population into a two sex-structure consisting of females and males. The threshold and equilibria for the model are determined and stabilities are examined. We extend the model to focus on the effects of condom use as a single-strategy approach in HIV prevention in the absence of any treatment. Initially we model the use of male condoms and further extend the model to incorporate the use of both female and male condoms. The model includes two primary factors in condom use to control HIV that are condom efficacy and compliance. The exposure risk of infection after each intervention is obtained. Basic reproductive numbers for these models are computed and compared to assess the effectiveness of male and female condom use in a community. The models are numerically analysed to assess the effectiveness of condom use on the transmission dynamics of HIV/AIDS using demographic and epidemiological parameters for Zimbabwe. The study demonstrates the use of sex-structured HIV/AIDS models in assessing the effectiveness of female and male condom use as a preventative strategy in a heterosexually active population.

Original languageEnglish
Pages (from-to)669-699
Number of pages31
JournalJournal of Mathematical Biology
Volume54
Issue number5
Early online date11 Jan 2007
DOIs
Publication statusPublished - May 2007
Externally publishedYes

Keywords

  • Condoms
  • Disease Transmission, Infectious
  • Female
  • HIV
  • HIV Infections
  • Humans
  • Male
  • Models, Biological
  • Numerical Analysis, Computer-Assisted
  • Sex Factors
  • Zimbabwe
  • Journal Article
  • Research Support, Non-U.S. Gov't

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