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

Hippolyte d'Albis, Emmanuelle Augeraud-Véron, Elodie Djemai and Arnaud Ducrot ()
Additional contact information
Arnaud Ducrot: IMB - Institut de Mathématiques de Bordeaux - UB - Université de Bordeaux - Bordeaux INP - Institut Polytechnique de Bordeaux - CNRS - Centre National de la Recherche Scientifique

Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) from HAL

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.

Keywords: Epidemiological models; Modèles épidémiologiques. (search for similar items in EconPapers)
Date: 2012-04
New Economics Papers: this item is included in nep-hea
Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00717322v1
References: View references in EconPapers View complete reference list from CitEc
Citations:

Published in 2012

Downloads: (external link)
https://shs.hal.science/halshs-00717322v1/document (application/pdf)

Related works:
Working Paper: The dispersion of age differences between partners and the asymptotic dynamics of the HIV epidemic (2012)
Working Paper: The dispersion of age differences between partners and the asymptotic dynamics of the HIV epidemic (2012)
Working Paper: The Dispersion of Age Differences between Partners and the Asymptotic Dynamics of the HIV Epidemic (2012)
Working Paper: The dispersion of age differences between partners and the asymptotic dynamics of the HIV epidemic (2012)
Working Paper: The Dispersion of Age Differences between Partners and the Asymptotic Dynamics of the HIV Epidemic (2012)
Working Paper: The Dispersion of Age Differences between Partners and the Asymptotic Dynamics of the HIV Epidemic (2010)
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hal:cesptp:halshs-00717322

Access Statistics for this paper

More papers in Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) from HAL
Bibliographic data for series maintained by CCSD ().