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Estimation of parameters in a structured SIR model

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Estimation of parameters in a structured SIR model

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dc.contributor.author Cantó Colomina, Begoña es_ES
dc.contributor.author Coll, Carmen es_ES
dc.contributor.author Sánchez, Elena es_ES
dc.date.accessioned 2018-05-21T04:19:05Z
dc.date.available 2018-05-21T04:19:05Z
dc.date.issued 2017 es_ES
dc.identifier.issn 1687-1839 es_ES
dc.identifier.uri http://hdl.handle.net/10251/102302
dc.description.abstract [EN] In this paper, an age-structured epidemiological process is considered. The disease model is based on a SIR model with unknown parameters. We addressed two important issues to analyzing the model and its parameters. One issue is concerned with the theoretical existence of unique solution, the identifiability problem. The second issue is how to estimate the parameters in the model. We propose an iterative algorithm to study the identifiability of the system and a method to estimate the parameters which are identifiable. A least squares approach based on a finite set of observations helps us to estimate the initial values of the parameters. Finally, we test the proposed algorithms. es_ES
dc.description.sponsorship The authors would like to thank the referees and the editor for their comments and useful suggestions for improvement of the manuscript. This work has been partially supported by Spanish Grant MTM2013-43678-P. en_EN
dc.language Inglés es_ES
dc.publisher Springer (Biomed Central Ltd.) es_ES
dc.relation.ispartof Advances in Difference Equations es_ES
dc.rights Reconocimiento (by) es_ES
dc.subject Epidemic process es_ES
dc.subject Mathematical modeling es_ES
dc.subject Parameter estimation es_ES
dc.subject Identifiability es_ES
dc.subject Discrete-time system es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Estimation of parameters in a structured SIR model es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1186/s13662-017-1078-5 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MINECO//MTM2013-43678-P/ES/ANALISIS DE MODELOS MATEMATICOS CON COEFICIENTES MATRICIALES: FUNDAMENTOS TEORICOS Y APLICACIONES/ es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Cantó Colomina, B.; Coll, C.; Sánchez, E. (2017). Estimation of parameters in a structured SIR model. Advances in Difference Equations. 33:1-13. https://doi.org/10.1186/s13662-017-1078-5 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://dx.doi.org/10.1186/s13662-017-1078-5 es_ES
dc.description.upvformatpinicio 1 es_ES
dc.description.upvformatpfin 13 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 33 es_ES
dc.relation.pasarela S\326323 es_ES
dc.contributor.funder Ministerio de Economía, Industria y Competitividad es_ES
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