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Please use this identifier to cite or link to this item: http://bura.brunel.ac.uk/handle/2438/4590

Title: Qualitative assessment of the role of public health education program on HIV transmission dynamics
Authors: Hussaini, N
Winter, M
Gumel, AB
Keywords: HIV/AIDS
Reproduction number
Stability
Equilibria
Backward bifurcation
Publication Date: 2010
Publisher: Oxford University Press
Citation: Mathematical Medicine and Biology, Advance Access
Abstract: This paper presents a nonlinear deterministic model for assessing the impact of public health education campaign on curtailing the spread of the 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.
Description: © The author 2010. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.
Sponsorship: Kano State Government of Nigeria (N.H.); Natural Science and Engineering Research Council and Mathematics of Information Technology and Complex Systems of Canada (A.B.G.)
URI: http://imammb.oxfordjournals.org/content/early/2010/05/20/imammb.dqq009
http://bura.brunel.ac.uk/handle/2438/4590
DOI: http://dx.doi.org/10.1093/imammb/dqq009
ISSN: 1477-8599
Appears in Collections:Mathematical Science
Dept of Mathematics Research Papers

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