Probabilistic solution of random SI-type epidemiological models using the Random Variable Transformation technique

[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 o...

Descripción completa

Detalles Bibliográficos
Autores: M.-C. Casabán|||0000-0002-5708-5709, Cortés, J.-C.|||0000-0002-6528-2155, Romero, José-Vicente|||0000-0003-3366-6557, Roselló, María-Dolores|||0000-0002-5724-7683
Tipo de recurso: artículo
Fecha de publicación:2015
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/64197
Acceso en línea:https://riunet.upv.es/handle/10251/64197
Access Level:acceso abierto
Palabra clave:Random SI-type epidemiological models
First-order nonlinear random differential equations
Random Variable Transformation technique
First probability density function
MATEMATICA APLICADA
id ES_ba5f9d4cd29e2b691769afa2ca4a329c
oai_identifier_str oai:riunet.upv.es:10251/64197
network_acronym_str ES
network_name_str España
repository_id_str
spelling Probabilistic solution of random SI-type epidemiological models using the Random Variable Transformation techniqueM.-C. Casabán|||0000-0002-5708-5709Cortés, J.-C.|||0000-0002-6528-2155Romero, José-Vicente|||0000-0003-3366-6557Roselló, María-Dolores|||0000-0002-5724-7683Random SI-type epidemiological modelsFirst-order nonlinear random differential equationsRandom Variable Transformation techniqueFirst probability density functionMATEMATICA APLICADA[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.This work has been partially supported by the Ministerio de Economia y Competitividad Grants MTM2013-41765-P and TRA2012-36932.ElsevierEscuela Técnica Superior de Ingeniería de TelecomunicaciónFacultad de Administración y Dirección de EmpresasDepartamento de Matemática AplicadaEscuela Técnica Superior de Ingeniería Aeroespacial y Diseño IndustrialInstituto Universitario de Matemática MultidisciplinarEscuela Técnica Superior de Ingeniería Agronómica y del Medio NaturalMinisterio de Economía y CompetitividadRepositorio Institucional de la Universitat Politècnica de València Riunet20152015-07-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfapplication/pdfhttps://riunet.upv.es/handle/10251/64197reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valénciainstname:Universitat Politècnica de València (UPV)InglésengMinisterio de Economía y Competitividad http://dx.doi.org/10.13039/501100003329 TRA2012-36932 COMPRENSION DE LA INFLUENCIA DE COMBUSTIBLES NO CONVENCIONALES EN EL PROCESO DE INYECCION Y COMBUSTION TIPO DIESELMinisterio de Economía y Competitividad http://dx.doi.org/10.13039/501100003329 MTM2013-41765-P METODOS COMPUTACIONALES PARA ECUACIONES DIFERENCIALES ALEATORIAS: TEORIA Y APLICACIONESopen accesshttp://purl.org/coar/access_right/c_abf2Reserva de todos los derechoshttp://rightsstatements.org/vocab/InC/1.0/info:eu-repo/semantics/openAccessoai:riunet.upv.es:10251/641972026-06-13T07:49:27Z
dc.title.none.fl_str_mv Probabilistic solution of random SI-type epidemiological models using the Random Variable Transformation technique
title Probabilistic solution of random SI-type epidemiological models using the Random Variable Transformation technique
spellingShingle Probabilistic solution of random SI-type epidemiological models using the Random Variable Transformation technique
M.-C. Casabán|||0000-0002-5708-5709
Random SI-type epidemiological models
First-order nonlinear random differential equations
Random Variable Transformation technique
First probability density function
MATEMATICA APLICADA
title_short Probabilistic solution of random SI-type epidemiological models using the Random Variable Transformation technique
title_full Probabilistic solution of random SI-type epidemiological models using the Random Variable Transformation technique
title_fullStr Probabilistic solution of random SI-type epidemiological models using the Random Variable Transformation technique
title_full_unstemmed Probabilistic solution of random SI-type epidemiological models using the Random Variable Transformation technique
title_sort Probabilistic solution of random SI-type epidemiological models using the Random Variable Transformation technique
dc.creator.none.fl_str_mv M.-C. Casabán|||0000-0002-5708-5709
Cortés, J.-C.|||0000-0002-6528-2155
Romero, José-Vicente|||0000-0003-3366-6557
Roselló, María-Dolores|||0000-0002-5724-7683
author M.-C. Casabán|||0000-0002-5708-5709
author_facet M.-C. Casabán|||0000-0002-5708-5709
Cortés, J.-C.|||0000-0002-6528-2155
Romero, José-Vicente|||0000-0003-3366-6557
Roselló, María-Dolores|||0000-0002-5724-7683
author_role author
author2 Cortés, J.-C.|||0000-0002-6528-2155
Romero, José-Vicente|||0000-0003-3366-6557
Roselló, María-Dolores|||0000-0002-5724-7683
author2_role author
author
author
dc.contributor.none.fl_str_mv Escuela Técnica Superior de Ingeniería de Telecomunicación
Facultad de Administración y Dirección de Empresas
Departamento de Matemática Aplicada
Escuela Técnica Superior de Ingeniería Aeroespacial y Diseño Industrial
Instituto Universitario de Matemática Multidisciplinar
Escuela Técnica Superior de Ingeniería Agronómica y del Medio Natural
Ministerio de Economía y Competitividad
Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Random SI-type epidemiological models
First-order nonlinear random differential equations
Random Variable Transformation technique
First probability density function
MATEMATICA APLICADA
topic Random SI-type epidemiological models
First-order nonlinear random differential equations
Random Variable Transformation technique
First probability density function
MATEMATICA APLICADA
description [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.
publishDate 2015
dc.date.none.fl_str_mv 2015
2015-07-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://riunet.upv.es/handle/10251/64197
url https://riunet.upv.es/handle/10251/64197
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Ministerio de Economía y Competitividad http://dx.doi.org/10.13039/501100003329 TRA2012-36932 COMPRENSION DE LA INFLUENCIA DE COMBUSTIBLES NO CONVENCIONALES EN EL PROCESO DE INYECCION Y COMBUSTION TIPO DIESEL
Ministerio de Economía y Competitividad http://dx.doi.org/10.13039/501100003329 MTM2013-41765-P METODOS COMPUTACIONALES PARA ECUACIONES DIFERENCIALES ALEATORIAS: TEORIA Y APLICACIONES
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reserva de todos los derechos
http://rightsstatements.org/vocab/InC/1.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reserva de todos los derechos
http://rightsstatements.org/vocab/InC/1.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
instname:Universitat Politècnica de València (UPV)
instname_str Universitat Politècnica de València (UPV)
reponame_str RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
collection RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869417892462723072
score 15,301603

Similares en LA Referencia