Approximation of the Basic Reproduction Number R 0 for Vector-Borne Diseases with a Periodic Vector Population

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Approximation of the basic reproduction number R0 for vector-borne diseases with a periodic vector population.

The 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(omegat - 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 p...

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ژورنال

عنوان ژورنال: Bulletin of Mathematical Biology

سال: 2007

ISSN: 0092-8240,1522-9602

DOI: 10.1007/s11538-006-9166-9