The dispersion of age differences between partners and the asymptotic dynamics of the HIV epidemic

Article dans une revue: In this paper, 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.

Auteur(s)

Hippolyte d’Albis, Emmanuelle Augeraud-Véron, Elodie Djemaï, Arnaud Ducrot

Revue
  • Journal of Biological Dynamics
Date de publication
  • 2012
Mots-clés JEL
I19 J10
Mots-clés
  • Epidemiology
  • Population dynamics
Pages
  • 695-717
Version
  • 1
Volume
  • 6