On the number of recovered individuals in the SIS and SIR stochastic epidemic models

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dc.contributor.authorArtalejo Rodríguez, Jesús Manuel
dc.contributor.authorEconomou, A.
dc.contributor.authorLópez Herrero, María Jesús
dc.date.accessioned2023-06-20T00:10:29Z
dc.date.available2023-06-20T00:10:29Z
dc.date.issued2010-11
dc.description.abstractThe basic models of infectious disease dynamics (the SIS and SIR models) are considered. Particular attention is paid to the number of infected individuals that recovered and its relationship with the final epidemic size. We investigate this descriptor both until the extinction of the epidemic and in transient regime. Simple and efficient methods to obtain the distribution of the number of recovered individuals and its moments are proposed and discussed with respect to the previous work. The methodology could also be extended to other stochastic epidemic models. The theory is illustrated by numerical experiments, which demonstrate that the proposed computational methods can be applied efficiently. in particular, we use the distribution of the number of individuals removed in the SIR model in conjunction with data of outbreaks of ESBL observed in the intensive care unit of a Spanish hospital.
dc.description.departmentDepto. de Estadística e Investigación Operativa
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipGovernment of Spain (Department of Science and Innovation)
dc.description.sponsorshipEuropean Commission
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/14946
dc.identifier.doi10.1016/j.mbs.2010.08.006
dc.identifier.issn0025-5564
dc.identifier.officialurlhttp://www.sciencedirect.com/science/journal/00255564
dc.identifier.relatedurlhttp://www.sciencedirect.com/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/42129
dc.issue.number1
dc.journal.titleMathematical Biosciences
dc.language.isoeng
dc.page.final55
dc.page.initial45
dc.publisherElsevier Science Inc
dc.relation.projectIDMTM 2008-01121
dc.rights.accessRightsrestricted access
dc.subject.cdu519.216
dc.subject.keywordQuasi-stationary distributions
dc.subject.keywordSize
dc.subject.keywordTime
dc.subject.keywordRecovered individuals
dc.subject.keywordStochastic SIS model
dc.subject.keywordStochastic SIR model
dc.subject.keywordExtinction time
dc.subject.keywordTransient behavior
dc.subject.keywordOutbreak of ESBL
dc.subject.ucmProcesos estocásticos
dc.subject.unesco1208.08 Procesos Estocásticos
dc.titleOn the number of recovered individuals in the SIS and SIR stochastic epidemic models
dc.typejournal article
dc.volume.number228
dspace.entity.typePublication
relation.isAuthorOfPublicationdb4b8a04-44b0-48e9-8b2c-c80ffae94799
relation.isAuthorOfPublication64a702cc-f8f5-468f-baeb-e37e92492a68
relation.isAuthorOfPublication.latestForDiscovery64a702cc-f8f5-468f-baeb-e37e92492a68
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