The Basic Reproduction Number of Infectious Diseases: Computation and Estimation Using Compartmental Epidemic Models
Identifieur interne : 000089 ( 1968/Analysis ); précédent : 000088; suivant : 000090The Basic Reproduction Number of Infectious Diseases: Computation and Estimation Using Compartmental Epidemic Models
Auteurs : Gerardo Chowell [États-Unis] ; Fred Brauer [Canada]Source :
Abstract
The basic reproduction number (R0) is a central quantity in epidemiology as it measures the transmission potential of infectious diseases. In this chapter we review the basic theory of the spread of infectious diseases using simple compartmental models based on ordinary differential equations including the simple Kermack-McKendrick epidemic model, SIR (susceptible-infectious-removed) models with demographics, the SIS (susceptible-infectious-susceptible) model, backward bifurcations, endemic equilibria, and the analytical derivation of R0 using the next-generation approach. This theory is followed by simple methodology for the estimation of R0 with its corresponding uncertainty from epidemic time series data. The 1918–1919 influenza pandemic in Winnipeg, Canada, and the 1968 influenza pandemic in US cities are used for illustration.
Url:
DOI: 10.1007/978-90-481-2313-1_1
Affiliations:
Links toward previous steps (curation, corpus...)
- to stream Istex, to step Corpus: 001570
- to stream Istex, to step Curation: 001570
- to stream Istex, to step Checkpoint: 000270
- to stream Main, to step Merge: 001162
- to stream Main, to step Curation: 001152
- to stream Main, to step Exploration: 001152
- to stream 1968, to step Extraction: 000089
Links to Exploration step
ISTEX:E383E270E6594EF31A4DA9FF55823B92CCC9E7AFLe document en format XML
<record><TEI wicri:istexFullTextTei="biblStruct"><teiHeader><fileDesc><titleStmt><title xml:lang="en">The Basic Reproduction Number of Infectious Diseases: Computation and Estimation Using Compartmental Epidemic Models</title><author><name sortKey="Chowell, Gerardo" sort="Chowell, Gerardo" uniqKey="Chowell G" first="Gerardo" last="Chowell">Gerardo Chowell</name></author><author><name sortKey="Brauer, Fred" sort="Brauer, Fred" uniqKey="Brauer F" first="Fred" last="Brauer">Fred Brauer</name></author></titleStmt><publicationStmt><idno type="wicri:source">ISTEX</idno><idno type="RBID">ISTEX:E383E270E6594EF31A4DA9FF55823B92CCC9E7AF</idno><date when="2009" year="2009">2009</date><idno type="doi">10.1007/978-90-481-2313-1_1</idno><idno type="url">https://api.istex.fr/ark:/67375/HCB-4L7317WX-2/fulltext.pdf</idno><idno type="wicri:Area/Istex/Corpus">001570</idno><idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Corpus" wicri:corpus="ISTEX">001570</idno><idno type="wicri:Area/Istex/Curation">001570</idno><idno type="wicri:Area/Istex/Checkpoint">000270</idno><idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Checkpoint">000270</idno><idno type="wicri:Area/Main/Merge">001162</idno><idno type="wicri:Area/Main/Curation">001152</idno><idno type="wicri:Area/Main/Exploration">001152</idno><idno type="wicri:Area/1968/Extraction">000089</idno></publicationStmt><sourceDesc><biblStruct><analytic><title level="a" type="main" xml:lang="en">The Basic Reproduction Number of Infectious Diseases: Computation and Estimation Using Compartmental Epidemic Models</title><author><name sortKey="Chowell, Gerardo" sort="Chowell, Gerardo" uniqKey="Chowell G" first="Gerardo" last="Chowell">Gerardo Chowell</name><affiliation wicri:level="2"><country xml:lang="fr">États-Unis</country><wicri:regionArea>Arizona State University School of Human Evolution&Social Change, Tempe, AZ 85287-2402</wicri:regionArea><placeName><region type="state">Arizona</region></placeName></affiliation><affiliation wicri:level="1"><country wicri:rule="url">États-Unis</country></affiliation></author><author><name sortKey="Brauer, Fred" sort="Brauer, Fred" uniqKey="Brauer F" first="Fred" last="Brauer">Fred Brauer</name><affiliation wicri:level="1"><country>Canada</country><wicri:regionArea>Department of Mathematics, The University of British Columbia, Vancouver, B.C.</wicri:regionArea><wicri:noRegion>B.C.</wicri:noRegion></affiliation><affiliation wicri:level="1"><country wicri:rule="url">Canada</country></affiliation></author></analytic><monogr></monogr></biblStruct></sourceDesc></fileDesc><profileDesc><textClass></textClass></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">The basic reproduction number (R0) is a central quantity in epidemiology as it measures the transmission potential of infectious diseases. In this chapter we review the basic theory of the spread of infectious diseases using simple compartmental models based on ordinary differential equations including the simple Kermack-McKendrick epidemic model, SIR (susceptible-infectious-removed) models with demographics, the SIS (susceptible-infectious-susceptible) model, backward bifurcations, endemic equilibria, and the analytical derivation of R0 using the next-generation approach. This theory is followed by simple methodology for the estimation of R0 with its corresponding uncertainty from epidemic time series data. The 1918–1919 influenza pandemic in Winnipeg, Canada, and the 1968 influenza pandemic in US cities are used for illustration.</div></front></TEI><affiliations><list><country><li>Canada</li><li>États-Unis</li></country><region><li>Arizona</li></region></list><tree><country name="États-Unis"><region name="Arizona"><name sortKey="Chowell, Gerardo" sort="Chowell, Gerardo" uniqKey="Chowell G" first="Gerardo" last="Chowell">Gerardo Chowell</name></region><name sortKey="Chowell, Gerardo" sort="Chowell, Gerardo" uniqKey="Chowell G" first="Gerardo" last="Chowell">Gerardo Chowell</name></country><country name="Canada"><noRegion><name sortKey="Brauer, Fred" sort="Brauer, Fred" uniqKey="Brauer F" first="Fred" last="Brauer">Fred Brauer</name></noRegion><name sortKey="Brauer, Fred" sort="Brauer, Fred" uniqKey="Brauer F" first="Fred" last="Brauer">Fred Brauer</name></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
EXPLOR_STEP=$WICRI_ROOT/Sante/explor/H2N2V1/Data/1968/Analysis
HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 000089 | SxmlIndent | more
Ou
HfdSelect -h $EXPLOR_AREA/Data/1968/Analysis/biblio.hfd -nk 000089 | SxmlIndent | more
Pour mettre un lien sur cette page dans le réseau Wicri
{{Explor lien
|wiki= Sante
|area= H2N2V1
|flux= 1968
|étape= Analysis
|type= RBID
|clé= ISTEX:E383E270E6594EF31A4DA9FF55823B92CCC9E7AF
|texte= The Basic Reproduction Number of Infectious Diseases: Computation and Estimation Using Compartmental Epidemic Models
}}
| This area was generated with Dilib version V0.6.33. |  |