EconPapers    
Economics at your fingertips  
 

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

Hippolyte d'Albis (), Emmanuelle Augeraud-Véron (), Elodie Djemaï () and Arnaud Ducrot ()
Additional contact information
Elodie Djemaï: MIA - Mathématiques, Image et Applications - ULR - Université de La Rochelle
Arnaud Ducrot: IMB - Institut de Mathématiques de Bordeaux - Université Bordeaux Segalen - Bordeaux 2 - Université Sciences et Technologies - Bordeaux 1 - UB - Université de Bordeaux - Bordeaux INP - CNRS - Centre National de la Recherche Scientifique

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

Abstract: 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.

Keywords: epidemiology; population dynamics (search for similar items in EconPapers)
Date: 2012
Note: View the original document on HAL open archive server: https://hal.archives-ouvertes.fr/hal-00759489
References: Add references at CitEc
Citations Track citations by RSS feed

Published in Journal of Biological Dynamics, Taylor & Francis Open, 2012, 6 (2), pp.695-717. 〈10.1080/17513758.2012.688146〉

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
Working Paper: The Dispersion of Age Differences between Partners and the Asymptotic Dynamics of the HIV Epidemic (2012) Downloads
Working Paper: The Dispersion of Age Differences between Partners and the Asymptotic Dynamics of the HIV Epidemic (2012) Downloads
Working Paper: The Dispersion of Age Differences between Partners and the Asymptotic Dynamics of the HIV Epidemic (2010) Downloads
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:hal-00759489

Access Statistics for this paper

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

 
Page updated 2017-11-17
Handle: RePEc:hal:cesptp:hal-00759489