On the complexities of modeling HIV/AIDS in Southern Africa

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3 Citations (Scopus)


In this paper problems associated with the modeling of HIV/AIDS in Southern Africa are presented. A mathematical model is presented to highlight the three major challenges of modeling HIV/AIDS, i.e condom use, vertical transmission and treatment. The model analysis for the case, where the treatment parameter p = 0, is presented in terms of the model reproduction number R and threshold parameters Rr and RA that show the contribution of vertical transmission. It is shown that if R, RT, RA < 1, then the disease free equilibrium point is both locally asymptotically and globally stable. Numerical simulations for the model are presented to determine the role of some key epidemiological parameters of the model.

Original languageEnglish
Pages (from-to)539-552
Number of pages14
JournalMathematical Modelling and Analysis
Issue number4
Publication statusPublished - 2008
Externally publishedYes


  • Complexities
  • Equilibrium points
  • Interventions
  • Reproduction number
  • Stability

ASJC Scopus subject areas

  • Analysis
  • Modeling and Simulation


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