Thumbnail

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

D'Albis, Hippolyte; Augeraud-Véron, Emmanuelle; Djemaï, Elodie; Ducrot, Arnaud (2012), The Dispersion of Age Differences between Partners and the Asymptotic Dynamics of the HIV Epidemic, Journal of Biological Dynamics, 6, 2, p. 695-717

View/Open
Type
Article accepté pour publication ou publié
Date
2012-03
Journal name
Journal of Biological Dynamics
Volume
6
Number
2
Publisher
Taylor & Francis
Pages
695-717
43
Metadata
Show full item record
Author(s)
D'Albis, Hippolyte cc
Augeraud-Véron, Emmanuelle
Djemaï, Elodie
Ducrot, Arnaud
Abstract (EN)
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.
Subjects / Keywords
HIV epidemic; Sub-Saharan Africa; Reproduction number; Demographic Economics
JEL
J11 - Demographic Trends, Macroeconomic Effects, and Forecasts
I12 - Health Behavior