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

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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

Suggested Citation

  • Hippolyte d'Albis & Emmanuelle Augeraud-Véron & Elodie Djemaï & Arnaud Ducrot, 2012. "The Dispersion of Age Differences between Partners and the Asymptotic Dynamics of the HIV Epidemic," Documents de travail du Centre d'Economie de la Sorbonne 12027, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    • Handle: RePEc:mse:cesdoc:12027
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    File URL: http://mse.univ-paris1.fr/pub/mse/CES2012/12027.pdf
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    1. Ermisch, John & Ogawa, Naohiro (ed.), 1994. "The Family, the Market, and the State in Ageing Societies," OUP Catalogue, Oxford University Press, number 9780198288183.
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    1. Visite guidée au coeur des travaux du Meilleur jeune économiste 2012 (2/2)
      by Matthieu Solignac in Regards croisés sur l'économie on 2012-06-11 03:05:40

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    Cited by:

    1. Xiao Zang & Emanuel Krebs & Linwei Wang & Brandon D. L. Marshall & Reuben Granich & Bruce R. Schackman & Julio S. G. Montaner & Bohdan Nosyk, 2019. "Structural Design and Data Requirements for Simulation Modelling in HIV/AIDS: A Narrative Review," PharmacoEconomics, Springer, vol. 37(10), pages 1219-1239, October.

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    More about this item

    Keywords

    Epidemiological models;

    JEL classification:

    • J11 - Labor and Demographic Economics - - Demographic Economics - - - Demographic Trends, Macroeconomic Effects, and Forecasts
    • I12 - Health, Education, and Welfare - - Health - - - Health Behavior

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