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 ()
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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 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
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Published in Journal of Biological Dynamics, 2012, 6 (2), pp.695-717. ⟨10.1080/17513758.2012.688146⟩

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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)
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Persistent link: https://EconPapers.repec.org/RePEc:hal:cesptp:hal-00759489

DOI: 10.1080/17513758.2012.688146

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