<?xml version='1.0' encoding='UTF-8'?>
<modsCollection xsi:schemaLocation="http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-3.xsd" xmlns="http://www.loc.gov/mods/v3" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"><mods><titleInfo><title>Approximation of the basic reproduction number R-0 for vector-borne diseases with a periodic vector population</title></titleInfo><name type="personal"><namePart type="family">Bacaer</namePart><namePart type="given">Nicolas</namePart><role><roleTerm type="text">auteur</roleTerm><roleTerm type="code" authority="marcrelator">aut</roleTerm></role><affiliation>IRD</affiliation></name><typeOfResource>text</typeOfResource><genre authority="local">journalArticle</genre><physicalDescription><internetMediaType>text/pdf</internetMediaType><digitalOrigin>born digital</digitalOrigin><reformattingQuality>access</reformattingQuality></physicalDescription><abstract>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 (omega t - phi)) with epsilon &lt;&lt; 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.</abstract><targetAudience authority="marctarget">specialized</targetAudience><subject><topic>epidemics</topic><topic>basic reproduction number</topic><topic>seasonality</topic></subject><classification authority="local">020 </classification><classification authority="local">050 </classification><relatedItem type="host"><titleInfo><title>Bulletin of Mathematical Biology</title></titleInfo><part><detail type="volume"><number>69</number></detail><detail type="issue"><number>3</number></detail><extent unit="pages"><start>1067</start><end>1091</end></extent></part><originInfo><dateIssued>2007</dateIssued></originInfo><identifier type="issn">0092-8240</identifier></relatedItem><identifier type="uri">http://www.documentation.ird.fr/hor/fdi:010037910</identifier><identifier type="doi">10.1007/s11538-006-9166-9</identifier><location><physicalLocation>IRD Bondy</physicalLocation><shelfLocator>F B010037910</shelfLocator><url usage="primary display" access="object in context">http://www.documentation.ird.fr/hor/fdi:010037910</url><url access="raw object">http://www.documentation.ird.fr/intranet/publi/2007/05/010037910.pdf</url></location><accessCondition type="restriction on access" displayLabel="Accès réservé">Accès réservé (Intranet de l'IRD)</accessCondition><recordInfo><recordContentSource>IRD - Base Horizon / Pleins textes</recordContentSource><recordCreationDate encoding="w3cdtf">2007-06-01</recordCreationDate><recordChangeDate encoding="w3cdtf">2010-08-04</recordChangeDate><recordIdentifier>fdi:010037910</recordIdentifier><languageOfCataloging><languageTerm authority="iso639-2b">fre</languageTerm></languageOfCataloging></recordInfo></mods></modsCollection>
