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Bacaer Nicolas. Approximation of the basic reproduction number R-0 for vector-borne diseases with a periodic vector population. Bulletin of Mathematical Biology, 2007, 69 (3), p. 1067-1091. ISSN 0092-8240

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Lien direct chez l'éditeur doi:10.1007/s11538-006-9166-9

TitreApproximation of the basic reproduction number R-0 for vector-borne diseases with a periodic vector population
Année de publication2007
Type de documentArticle référencé dans le Web of Science : 000245124600011
AuteursBacaer Nicolas.
SourceBulletin of Mathematical Biology, 2007, 69 (3), p. 1067-1091. ISSN 0092-8240
RésuméThe main purpose of this paper is to give an approximate formula involving two terms for the basic reproduction number R (0) of a vector-borne disease when the vector population has small seasonal fluctuations of the form p(t) = p (0) (1+epsilon cos (omega t - phi)) with epsilon << 1. The first term is similar to the case of a constant vector population p but with p replaced by the average vector population p (0). The maximum correction due to the second term is (epsilon(2)/8)% and always tends to decrease R (0). The basic reproduction number R (0) is defined through the spectral radius of a linear integral operator. Four numerical methods for the computation of R (0) are compared using as example a model for the 2005/2006 chikungunya epidemic in La Reunion. The approximate formula and the numerical methods can be used for many other epidemic models with seasonality.
LocalisationFonds IRD [F B010037910]
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