On the early epidemic dynamics for pairwise models
dc.contributor.author
dc.date.accessioned
2018-03-13T08:14:02Z
dc.date.available
2018-03-13T08:14:02Z
dc.date.issued
2014-07-07
dc.identifier.issn
0022-5193
dc.identifier.uri
dc.description.abstract
The relationship between the basic reproduction number R0 and the exponential growth rate, specific to pair approximation models, is derived for the SIS, SIR and SEIR deterministic models without demography. These models are extended by including a random rewiring of susceptible individuals from infectious (and exposed) neighbours. The derived relationship between the exponential growth rate and R0 appears as formally consistent with those derived from homogeneous mixing models, enabling us to measure the transmission potential using the early growth rate of cases. On the other hand, the algebraic expression of R0 for the SEIR pairwise model shows that its value is affected by the average duration of the latent period, in contrast to what happens for the homogeneous mixing SEIR model. Numerical simulations on complex contact networks are performed to check the analytical assumptions and predictions
dc.description.sponsorship
This work has been partially supported by the research grants MTM2011-27739-C04-03 of the Spanish government (MINECO), and 2009-SGR-345 of the Generalitat de Catalunya
dc.format.mimetype
application/pdf
dc.language.iso
eng
dc.publisher
Elsevier
dc.relation
info:eu-repo/grantAgreement/MICINN//MTM2011-27739-C04-03/ES/MODELIZACION MATEMATICA, BIOLOGIA TEORICA Y REDES COMPLEJAS/
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Versió postprint del document publicat a: https://doi.org/10.1016/j.jtbi.2014.02.037
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© Journal of Theoretical Biology, 2014, vol. 352, p. 71-81
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Articles publicats (D-IMA)
dc.rights
Tots els drets reservats
dc.subject
dc.title
On the early epidemic dynamics for pairwise models
dc.type
info:eu-repo/semantics/article
dc.rights.accessRights
info:eu-repo/semantics/openAccess
dc.type.version
info:eu-repo/semantics/acceptedVersion
dc.identifier.doi
dc.identifier.idgrec
019771
dc.contributor.funder
dc.type.peerreviewed
peer-reviewed
dc.relation.ProjectAcronym
dc.identifier.eissn
1095-8541