The Dispersion of Age Differences between Partners and the Asymptotic Dynamics of the HIV Epidemic

Hippolyte d'Albis, Emmanuelle Augeraud-Véron, Elodie Djemai and Arnaud Ducrot
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Arnaud Ducrot: IMB - Université de Bordeaux

Documents de travail du Centre d'Economie de la Sorbonne from Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne

Abstract: In this article, the effect of a change in the distribution of age differences between sexual partners on the dynamics of the HIV epidemic is studied. In a gender and age structured compartmental model, it is shown that if the variance of the distribution is small enough, an increase in this variance strongly increases the basic reproduction number. Moreover, if the variance is large enough, the mean age difference barely affects the basic reproduction number. We therefore conclude that the local stability of the disease-free equilibrium relies more on the variance than on the mean

Keywords: Epidemiological; models (search for similar items in EconPapers)
Pages: 44 pages
Date: 2012-04
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Citations: View citations in EconPapers (1)

Published in Journal of Biological Dynamics, 2012, 6 (2), pp.695-717

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https://doi.org/10.1080/17513758.2012.688146
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Related works:
Working Paper: The dispersion of age differences between partners and the asymptotic dynamics of the HIV epidemic (2012)
Working Paper: The Dispersion of Age Differences between Partners and the Asymptotic Dynamics of the HIV Epidemic (2012)
Working Paper: The dispersion of age differences between partners and the asymptotic dynamics of the HIV epidemic (2012)
Working Paper: The Dispersion of Age Differences between Partners and the Asymptotic Dynamics of the HIV Epidemic (2012)
Working Paper: The dispersion of age differences between partners and the asymptotic dynamics of the HIV epidemic (2012)
Working Paper: The Dispersion of Age Differences between Partners and the Asymptotic Dynamics of the HIV Epidemic (2010)
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