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

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  • Hippolyte d'Albis
  • Emmanuelle AUGERAUD-VÉRON
  • Elodie DJEMAI
  • Arnaud DUCROT

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.

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Paper provided by LERNA, University of Toulouse in its series LERNA Working Papers with number 10.06.312.

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Date of creation: Apr 2010
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Handle: RePEc:ler:wpaper:10.06.312

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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 2012-06-10 22:05:40

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