Effectivity of the Vaccination Strategy for a Fractional-Order Discrete-Time SIC Epidemic Model

[EN] Indirect disease transmission is modeled via a fractional-order discrete time Susceptible-Infected-Contaminant (SIC) model vaccination as a control strategy. Two control actions are considered, giving rise to two different models: the vaccine efficacy model and the vaccination impact model. In...

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Autores: Coll, Carmen|||0000-0002-6487-3922, Ginestar Peiro, Damián|||0000-0003-1243-6648, Herrero Debón, Alicia|||0000-0002-4348-8486, Sánchez, Elena|||0000-0002-0972-6612
Formato: artículo
Fecha de publicación:2024
País:España
Recursos:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/228949
Acesso em linha:https://riunet.upv.es/handle/10251/228949
Access Level:acceso abierto
Palavra-chave:Epidemic process
Discrete fractional-order
Indirect transmission
Vaccination
Sensitivity analysis
03.- Garantizar una vida saludable y promover el bienestar para todos y todas en todas las edades
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network_acronym_str ES
network_name_str España
repository_id_str
spelling Effectivity of the Vaccination Strategy for a Fractional-Order Discrete-Time SIC Epidemic ModelColl, Carmen|||0000-0002-6487-3922Ginestar Peiro, Damián|||0000-0003-1243-6648Herrero Debón, Alicia|||0000-0002-4348-8486Sánchez, Elena|||0000-0002-0972-6612Epidemic processDiscrete fractional-orderIndirect transmissionVaccinationSensitivity analysis03.- Garantizar una vida saludable y promover el bienestar para todos y todas en todas las edades[EN] Indirect disease transmission is modeled via a fractional-order discrete time Susceptible-Infected-Contaminant (SIC) model vaccination as a control strategy. Two control actions are considered, giving rise to two different models: the vaccine efficacy model and the vaccination impact model. In the first model, the effectiveness of the vaccine is analyzed by introducing a new parameter, while in the second model, the impact of the vaccine is studied incorporating a new variable into the model. Both models are studied giving population thresholds to ensure the eradication of the disease. In addition, a sensitivity analysis of the Basic Reproduction Number has been carried out with respect to the effectiveness of the vaccine, the fractional order, the vaccinated population rate and the exposure rate. This analysis has been undertaken to study its effect on the dynamics of the models. Finally, the obtained results are illustrated and discussed with a simulation example related to the evolution of the disease in a pig farmVilnius Gediminas Technical UniversityDepartamento de Matemática AplicadaEscuela Técnica Superior de Ingeniería Aeroespacial y Diseño IndustrialInstituto Universitario de Matemática MultidisciplinarRepositorio Institucional de la Universitat Politècnica de València Riunet20242024-01-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://riunet.upv.es/handle/10251/228949reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valénciainstname:Universitat Politècnica de València (UPV)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Reconocimiento (by)http://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:riunet.upv.es:10251/2289492026-06-13T07:49:27Z
dc.title.none.fl_str_mv Effectivity of the Vaccination Strategy for a Fractional-Order Discrete-Time SIC Epidemic Model
title Effectivity of the Vaccination Strategy for a Fractional-Order Discrete-Time SIC Epidemic Model
spellingShingle Effectivity of the Vaccination Strategy for a Fractional-Order Discrete-Time SIC Epidemic Model
Coll, Carmen|||0000-0002-6487-3922
Epidemic process
Discrete fractional-order
Indirect transmission
Vaccination
Sensitivity analysis
03.- Garantizar una vida saludable y promover el bienestar para todos y todas en todas las edades
title_short Effectivity of the Vaccination Strategy for a Fractional-Order Discrete-Time SIC Epidemic Model
title_full Effectivity of the Vaccination Strategy for a Fractional-Order Discrete-Time SIC Epidemic Model
title_fullStr Effectivity of the Vaccination Strategy for a Fractional-Order Discrete-Time SIC Epidemic Model
title_full_unstemmed Effectivity of the Vaccination Strategy for a Fractional-Order Discrete-Time SIC Epidemic Model
title_sort Effectivity of the Vaccination Strategy for a Fractional-Order Discrete-Time SIC Epidemic Model
dc.creator.none.fl_str_mv Coll, Carmen|||0000-0002-6487-3922
Ginestar Peiro, Damián|||0000-0003-1243-6648
Herrero Debón, Alicia|||0000-0002-4348-8486
Sánchez, Elena|||0000-0002-0972-6612
author Coll, Carmen|||0000-0002-6487-3922
author_facet Coll, Carmen|||0000-0002-6487-3922
Ginestar Peiro, Damián|||0000-0003-1243-6648
Herrero Debón, Alicia|||0000-0002-4348-8486
Sánchez, Elena|||0000-0002-0972-6612
author_role author
author2 Ginestar Peiro, Damián|||0000-0003-1243-6648
Herrero Debón, Alicia|||0000-0002-4348-8486
Sánchez, Elena|||0000-0002-0972-6612
author2_role author
author
author
dc.contributor.none.fl_str_mv Departamento de Matemática Aplicada
Escuela Técnica Superior de Ingeniería Aeroespacial y Diseño Industrial
Instituto Universitario de Matemática Multidisciplinar
Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Epidemic process
Discrete fractional-order
Indirect transmission
Vaccination
Sensitivity analysis
03.- Garantizar una vida saludable y promover el bienestar para todos y todas en todas las edades
topic Epidemic process
Discrete fractional-order
Indirect transmission
Vaccination
Sensitivity analysis
03.- Garantizar una vida saludable y promover el bienestar para todos y todas en todas las edades
description [EN] Indirect disease transmission is modeled via a fractional-order discrete time Susceptible-Infected-Contaminant (SIC) model vaccination as a control strategy. Two control actions are considered, giving rise to two different models: the vaccine efficacy model and the vaccination impact model. In the first model, the effectiveness of the vaccine is analyzed by introducing a new parameter, while in the second model, the impact of the vaccine is studied incorporating a new variable into the model. Both models are studied giving population thresholds to ensure the eradication of the disease. In addition, a sensitivity analysis of the Basic Reproduction Number has been carried out with respect to the effectiveness of the vaccine, the fractional order, the vaccinated population rate and the exposure rate. This analysis has been undertaken to study its effect on the dynamics of the models. Finally, the obtained results are illustrated and discussed with a simulation example related to the evolution of the disease in a pig farm
publishDate 2024
dc.date.none.fl_str_mv 2024
2024-01-01
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/10251/228949
url https://riunet.upv.es/handle/10251/228949
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reconocimiento (by)
http://creativecommons.org/licenses/by/4.0/
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
Reconocimiento (by)
http://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Vilnius Gediminas Technical University
publisher.none.fl_str_mv Vilnius Gediminas Technical University
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
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score 15,812429

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