Qualitative assessment of the role of public health education program on HIV transmission dynamics

N. Hussaini, M. Winter, A. B. Gumel

Research output: Contribution to journalArticlepeer-review

26 Scopus citations


This paper presents a non-linear deterministic model for assessing the impact of public health education campaign on curtailing the spread of the human immunodeficiency virus (HIV) pandemic in a population. Rigorous qualitative analysis of the model reveals that it exhibits the phenomenon of backward bifurcation (BB), where a stable disease-free equilibrium coexists with a stable endemic equilibrium when a certain threshold quantity, known as the 'effective reproduction number' (Reff), is less than unity. The epidemiological implication of BB is that a public health education campaign could fail to effectively control HIV even when the classical requirement of having the associated reproduction number less than unity is satisfied. Furthermore, an explicit threshold value is derived above which such an education campaign could lead to detrimental outcome (increase disease burden) and below which it would have positive population-level impact (reduce disease burden in the community). It is shown that the BB phenomenon is caused by imperfect efficacy of the public health education program. The model is used to assess the potential impact of some targeted public health education campaigns using data from numerous countries.

Original languageEnglish (US)
Pages (from-to)245-270
Number of pages26
JournalMathematical Medicine and Biology
Issue number3
StatePublished - Sep 1 2011
Externally publishedYes


  • Backward bifurcation
  • Equilibria
  • Reproduction number
  • Stability

ASJC Scopus subject areas

  • General Neuroscience
  • Modeling and Simulation
  • General Immunology and Microbiology
  • General Biochemistry, Genetics and Molecular Biology
  • General Environmental Science
  • Pharmacology
  • Applied Mathematics


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