HIV/AIDS model assessing the effects of gender-inequality affecting women in African heterosexual settings

Zindoga Mukandavire, Noble J. Malunguza, Christinah Chiyaka, Godfrey Musuka, Jean M. Tchuenche

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

A sex-structured model for heterosexual transmission of HIV/AIDS for addressing the epidemic as a gender-based issue in African heterosexual settings is presented. The epidemic threshold and equilibria for the model are determined and stabilities are investigated. Comprehensive qualitative analysis of the model including positivity and boundedness of solutions, as well as persistence are carried out. The epidemic threshold for the model is computed and used to assess the effects of gender-inequality affecting women in heterosexual settings. The obtained gender-inequality-induced reproductive number R 0 * is greater than the reproductive number in the absence of gender-inequality R 0 * R 0 > R 0 * suggesting that gender-inequality affecting women in heterosexual settings enlarges the HIV/AIDS epidemic. Numerical simulations are carried out using demographic and epidemiological parameters for Zimbabwe and the obtained results confirm that gender-inequality increases HIV/AIDS prevalence in heterosexual settings. We conclude from the study that gender-inequality affecting women among heterosexuals should be properly addressed for the effective control of the HIV/AIDS epidemic.

Original languageEnglish
Pages (from-to)43-67
Number of pages25
JournalInternational Journal of Biomathematics
Volume3
Issue number1
DOIs
Publication statusPublished - 1 Mar 2010
Externally publishedYes

Fingerprint

Reproductive number
Model
Boundedness of Solutions
Qualitative Analysis
Africa
Gender
Computer simulation
Positivity
Persistence
Numerical Simulation

Keywords

  • delay
  • gender
  • HIV/AIDS model
  • persistence/permanence
  • reproductive number
  • stability

ASJC Scopus subject areas

  • Modelling and Simulation
  • Applied Mathematics

Cite this

HIV/AIDS model assessing the effects of gender-inequality affecting women in African heterosexual settings. / Mukandavire, Zindoga; Malunguza, Noble J.; Chiyaka, Christinah; Musuka, Godfrey; Tchuenche, Jean M.

In: International Journal of Biomathematics, Vol. 3, No. 1, 01.03.2010, p. 43-67.

Research output: Contribution to journalArticle

Mukandavire, Zindoga ; Malunguza, Noble J. ; Chiyaka, Christinah ; Musuka, Godfrey ; Tchuenche, Jean M. / HIV/AIDS model assessing the effects of gender-inequality affecting women in African heterosexual settings. In: International Journal of Biomathematics. 2010 ; Vol. 3, No. 1. pp. 43-67.
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