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




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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    References listed on IDEAS

    1. Christophe Guilmoto, 2012. "Skewed Sex Ratios at Birth and Future Marriage Squeeze in China and India, 2005–2100," Demography, Springer;Population Association of America (PAA), vol. 49(1), pages 77-100, February.
    2. V. Bhaskar, 2011. "Sex Selection and Gender Balance," American Economic Journal: Microeconomics, American Economic Association, vol. 3(1), pages 214-244, February.
    3. Neelakantan, Urvi & Tertilt, Michèle, 2008. "A note on marriage market clearing," Economics Letters, Elsevier, vol. 101(2), pages 103-105, November.
    4. V. Bhaskar, 2011. "Corrigendum: Sex Selection and Gender Balance," American Economic Journal: Microeconomics, American Economic Association, vol. 3(2), pages 252-253, May.
    5. Siwan Anderson & Debraj Ray, 2010. "Missing Women: Age and Disease," Review of Economic Studies, Oxford University Press, vol. 77(4), pages 1262-1300.
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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

    More about this item


    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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