The stochastic SEIR model before extinction: computational approaches

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dc.contributor.authorArtalejo Rodríguez, Jesús Manuel
dc.contributor.authorEconomou, A.
dc.contributor.authorLópez Herrero, María Jesús
dc.date.accessioned2024-03-05T16:25:15Z
dc.date.available2024-03-05T16:25:15Z
dc.date.issued2015-08-15
dc.description.abstractWe study a stochastic epidemic model of Susceptible-Exposed-Infective-Removed (SEIR) type and we quantify its behavior during an outbreak. More specifically, we model the epidemic by a continuous-time Markov chain and we develop efficient computational procedures for the distribution of the duration of an outbreak. We also study the evolution of the epidemic before its extinction using the ratio-of-expectations (RE) distribution for the number of individuals in the various classes of the model. The obtained results are illustrated by numerical examples including an application to an outbreak of Marburg hemorrhagic fever
dc.description.departmentDepto. de Estadística y Ciencia de los Datos
dc.description.facultyFac. de Estudios Estadísticos
dc.description.refereedTRUE
dc.description.sponsorshipMinisterio de Ciencia e Innovación de España
dc.description.sponsorshipComisión Europea
dc.description.sponsorshipUniversidad Complutense de Madrid
dc.description.sponsorshipBanco Santander
dc.description.statuspub
dc.identifier.citationArtalejo, Economou y Lopez-Herrero (2015) «The stochastic SEIR model before extinction: Computational approaches», Applied Mathematics and Computation, 265, pp. 1026-1043. doi:10.1016/J.AMC.2015.05.141.
dc.identifier.doi10.1016/j.amc.2015.05.141
dc.identifier.issn0096-3003
dc.identifier.officialurlhttps://doi.org/10.1016/j.amc.2015.05.141
dc.identifier.relatedurlhttps://www.sciencedirect.com/science/article/pii/S0096300315007729?via%3Dihub
dc.identifier.urihttps://hdl.handle.net/20.500.14352/101973
dc.journal.titleApplied Mathematics and Computation
dc.language.isoeng
dc.page.final1043
dc.page.initial1026
dc.publisherElsevier
dc.relation.projectIDMTM 2011–23864
dc.relation.projectIDUCM910211
dc.relation.projectID2014-GR3/14
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internationalen
dc.rights.accessRightsopen access
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subject.cdu519.22-76
dc.subject.cdu616-036.22
dc.subject.cdu519.217
dc.subject.cdu519.216
dc.subject.keywordStochastic SEIR epidemic model
dc.subject.keywordExtinction time
dc.subject.keywordRatio-of-expectations distribution
dc.subject.ucmProcesos estocásticos
dc.subject.ucmEnfermedades infecciosas
dc.subject.unesco3212 Salud Publica
dc.subject.unesco2404.01 Bioestadística
dc.subject.unesco1208.06 Procesos de Markov
dc.subject.unesco3202 Epidemiología
dc.titleThe stochastic SEIR model before extinction: computational approaches
dc.typejournal article
dc.type.hasVersionVoR
dc.volume.number265
dspace.entity.typePublication
relation.isAuthorOfPublicationdb4b8a04-44b0-48e9-8b2c-c80ffae94799
relation.isAuthorOfPublication64a702cc-f8f5-468f-baeb-e37e92492a68
relation.isAuthorOfPublication.latestForDiscoverydb4b8a04-44b0-48e9-8b2c-c80ffae94799
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