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Herd immunity under individual variation and reinfection

2022-06-30Artigo científico Acesso aberto
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dc.contributor.authorMontalbán, Antonio
dc.contributor.authorCorder, Rodrigo M.
dc.contributor.authorGomes, M. Gabriela M.
dc.contributor.institutionCMA - Centro de Matemática e Aplicações
dc.contributor.pblSpringer Science Business Media
dc.date.accessioned2022-09-20T22:26:00Z
dc.date.available2022-09-20T22:26:00Z
dc.date.issued2022-06-30
dc.descriptionFunding Information: We thank Paul McKeigue and Joel Miller for valuable discussions and two anonymous reviewers for constructive criticisms and suggestions. Publisher Copyright: © 2022, The Author(s).
dc.description.abstractWe study a susceptible-exposed-infected-recovered (SEIR) model considered by Aguas et al. (In: Herd immunity thresholds for SARS-CoV-2 estimated from unfolding epidemics, 2021), Gomes et al. (In: J Theor Biol. 540:111063, 2022) where individuals are assumed to differ in their susceptibility or exposure to infection. Under this heterogeneity assumption, epidemic growth is effectively suppressed when the percentage of the population having acquired immunity surpasses a critical level - the herd immunity threshold - that is lower than in homogeneous populations. We derive explicit formulas to calculate herd immunity thresholds and stable configurations, especially when susceptibility or exposure are gamma distributed, and explore extensions of the model.en
dc.description.versionpublishersversion
dc.description.versionpublished
dc.format.extent22
dc.format.extent546624
dc.identifier.doi10.1007/s00285-022-01771-x
dc.identifier.issn0303-6812
dc.identifier.otherPURE: 46650748
dc.identifier.otherPURE UUID: 41b4b0df-6764-4c94-a0b2-93b3a39184a8
dc.identifier.otherScopus: 85133133357
dc.identifier.otherPubMed: 35773525
dc.identifier.otherPubMedCentral: PMC9246817
dc.identifier.otherWOS: 000819425300001
dc.identifier.urihttp://hdl.handle.net/10362/143866
dc.identifier.urlhttps://www.scopus.com/pages/publications/85133133357
dc.language.isoeng
dc.peerreviewedyes
dc.subjectEffective reproduction number
dc.subjectHerd immunity threshold
dc.subjectIndividual variation
dc.subjectSEIR model
dc.subjectSelection
dc.subjectModelling and Simulation
dc.subjectAgricultural and Biological Sciences (miscellaneous)
dc.subjectApplied Mathematics
dc.titleHerd immunity under individual variation and reinfectionen
dc.typejournal article
degois.publication.issue1
degois.publication.titleJournal Of Mathematical Biology
degois.publication.volume85
dspace.entity.typePublication
rcaap.rightsopenAccess

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