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dc.contributor.author | Casabán Bartual, Mª Consuelo | es_ES |
dc.contributor.author | Cortés López, Juan Carlos | es_ES |
dc.contributor.author | Romero Bauset, José Vicente | es_ES |
dc.contributor.author | Roselló Ferragud, María Dolores | es_ES |
dc.date.accessioned | 2016-05-17T08:14:50Z | |
dc.date.available | 2016-05-17T08:14:50Z | |
dc.date.issued | 2015-07 | |
dc.identifier.issn | 1007-5704 | |
dc.identifier.uri | http://hdl.handle.net/10251/64197 | |
dc.description.abstract | [EN] This paper presents a full probabilistic description of the solution of random SI-type epidemiological models which are based on nonlinear differential equations. This description consists of determining: the first probability density function of the solution in terms of the density functions of the diffusion coefficient and the initial condition, which are assumed to be independent random variables; the expectation and variance functions of the solution as well as confidence intervals and, finally, the distribution of time until a given proportion of susceptibles remains in the population. The obtained formulas are general since they are valid regardless the probability distributions assigned to the random inputs. We also present a pair of illustrative examples including in one of them the application of the theoretical results to model the diffusion of a technology using real data. | es_ES |
dc.description.sponsorship | This work has been partially supported by the Ministerio de Economia y Competitividad Grants MTM2013-41765-P and TRA2012-36932. | en_EN |
dc.language | Inglés | es_ES |
dc.publisher | Elsevier | es_ES |
dc.relation.ispartof | Communications in Nonlinear Science and Numerical Simulation | es_ES |
dc.rights | Reserva de todos los derechos | es_ES |
dc.subject | Random SI-type epidemiological models | es_ES |
dc.subject | First-order nonlinear random differential equations | es_ES |
dc.subject | Random Variable Transformation technique | es_ES |
dc.subject | First probability density function | es_ES |
dc.subject.classification | MATEMATICA APLICADA | es_ES |
dc.title | Probabilistic solution of random SI-type epidemiological models using the Random Variable Transformation technique | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.1016/j.cnsns.2014.12.016 | |
dc.relation.projectID | info:eu-repo/grantAgreement/MINECO//TRA2012-36932/ES/COMPRENSION DE LA INFLUENCIA DE COMBUSTIBLES NO CONVENCIONALES EN EL PROCESO DE INYECCION Y COMBUSTION TIPO DIESEL/ | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/MINECO//MTM2013-41765-P/ES/METODOS COMPUTACIONALES PARA ECUACIONES DIFERENCIALES ALEATORIAS: TEORIA 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 | Casabán Bartual, MC.; Cortés López, JC.; Romero Bauset, JV.; Roselló Ferragud, MD. (2015). Probabilistic solution of random SI-type epidemiological models using the Random Variable Transformation technique. Communications in Nonlinear Science and Numerical Simulation. 24(1):86-97. https://doi.org/10.1016/j.cnsns.2014.12.016 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | https://dx.doi.org/10.1016/j.cnsns.2014.12.016 | es_ES |
dc.description.upvformatpinicio | 86 | es_ES |
dc.description.upvformatpfin | 97 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 24 | es_ES |
dc.description.issue | 1 | es_ES |
dc.relation.senia | 279886 | es_ES |
dc.identifier.eissn | 1878-7274 | |
dc.contributor.funder | Ministerio de Economía y Competitividad | es_ES |