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J Math Biol. 2012 Oct;65(4):601-21. doi: 10.1007/s00285-011-0479-4. Epub 2011 Oct 11.

On the biological interpretation of a definition for the parameter R₀ in periodic population models.

Author information

1
Institut de Recherche pour le Développement-IRD, UMI 209, Bondy, France. nicolas.bacaer@ird.fr

Abstract

An adaptation of the definition of the basic reproduction number R (0) to time-periodic seasonal models was suggested a few years ago. However, its biological interpretation remained unclear. The present paper shows that in demography, this R (0) is the asymptotic ratio of total births in two successive generations of the family tree. In epidemiology, it is the asymptotic ratio of total infections in two successive generations of the infection tree. This result is compared with other recent work.

PMID:
21987087
DOI:
10.1007/s00285-011-0479-4
[Indexed for MEDLINE]

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