Matrix Nonstandard Numerical Schemes for Epidemic Models

This paper is concerned with the construction and developing of several nonstandard finite difference (NSFD) schemes in matrix form in order to obtain numerical solutions of epidemic models. In particular, we deal with a classical SIR epidemic model and a seasonal model associated with the evolution...

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Autores: González Parra, Gilberto Carlos, Arenas Tawil, Abraham José, Villanueva Micó, Rafael Jacinto|||0000-0002-0131-0532
Tipo de recurso: artículo
Fecha de publicación:2010
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:10251/60495
Acceso en línea:https://riunet.upv.es/handle/10251/60495
Access Level:acceso abierto
Palabra clave:Matrix difference scheme
Nonstandard schemes
Matrix computation
Numerical solution
Epidemic model
MATEMATICA APLICADA
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spelling Matrix Nonstandard Numerical Schemes for Epidemic ModelsGonzález Parra, Gilberto CarlosArenas Tawil, Abraham JoséVillanueva Micó, Rafael Jacinto|||0000-0002-0131-0532Matrix difference schemeNonstandard schemesMatrix computationNumerical solutionEpidemic modelMATEMATICA APLICADAThis paper is concerned with the construction and developing of several nonstandard finite difference (NSFD) schemes in matrix form in order to obtain numerical solutions of epidemic models. In particular, we deal with a classical SIR epidemic model and a seasonal model associated with the evolution of the transmission of respiratory syncytial virus RSV in the human population. The first model is an autonomous differential equation system, and the second one is a nonautonomous one which generally is more difficult to be solved. The numerical schemes developed here can be used in other general epidemic models based on ordinary differential equations. One advantage of the developed methodology is that can be used easily by the scientific community without special knowledge. In addition, these NSFD schemes which are based on the the nonstandard finite difference methods developed by Mickens solve numerically systems describing epidemics with less computational effort. Finally, with these matrix NSFD schemes it can be exploited more easily matrix operations advantages.World Scientific and Engineering Academy and Society (WSEAS)Facultad de Administración y Dirección de EmpresasDepartamento de Matemática AplicadaInstituto Universitario de Matemática MultidisciplinarRepositorio Institucional de la Universitat Politècnica de València Riunet20102010-11-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://riunet.upv.es/handle/10251/60495reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valénciainstname:Universitat Politècnica de València (UPV)Inglésengopen 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:10251/604952026-06-13T07:49:27Z
dc.title.none.fl_str_mv Matrix Nonstandard Numerical Schemes for Epidemic Models
title Matrix Nonstandard Numerical Schemes for Epidemic Models
spellingShingle Matrix Nonstandard Numerical Schemes for Epidemic Models
González Parra, Gilberto Carlos
Matrix difference scheme
Nonstandard schemes
Matrix computation
Numerical solution
Epidemic model
MATEMATICA APLICADA
title_short Matrix Nonstandard Numerical Schemes for Epidemic Models
title_full Matrix Nonstandard Numerical Schemes for Epidemic Models
title_fullStr Matrix Nonstandard Numerical Schemes for Epidemic Models
title_full_unstemmed Matrix Nonstandard Numerical Schemes for Epidemic Models
title_sort Matrix Nonstandard Numerical Schemes for Epidemic Models
dc.creator.none.fl_str_mv González Parra, Gilberto Carlos
Arenas Tawil, Abraham José
Villanueva Micó, Rafael Jacinto|||0000-0002-0131-0532
author González Parra, Gilberto Carlos
author_facet González Parra, Gilberto Carlos
Arenas Tawil, Abraham José
Villanueva Micó, Rafael Jacinto|||0000-0002-0131-0532
author_role author
author2 Arenas Tawil, Abraham José
Villanueva Micó, Rafael Jacinto|||0000-0002-0131-0532
author2_role author
author
dc.contributor.none.fl_str_mv Facultad de Administración y Dirección de Empresas
Departamento de Matemática Aplicada
Instituto Universitario de Matemática Multidisciplinar
Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Matrix difference scheme
Nonstandard schemes
Matrix computation
Numerical solution
Epidemic model
MATEMATICA APLICADA
topic Matrix difference scheme
Nonstandard schemes
Matrix computation
Numerical solution
Epidemic model
MATEMATICA APLICADA
description This paper is concerned with the construction and developing of several nonstandard finite difference (NSFD) schemes in matrix form in order to obtain numerical solutions of epidemic models. In particular, we deal with a classical SIR epidemic model and a seasonal model associated with the evolution of the transmission of respiratory syncytial virus RSV in the human population. The first model is an autonomous differential equation system, and the second one is a nonautonomous one which generally is more difficult to be solved. The numerical schemes developed here can be used in other general epidemic models based on ordinary differential equations. One advantage of the developed methodology is that can be used easily by the scientific community without special knowledge. In addition, these NSFD schemes which are based on the the nonstandard finite difference methods developed by Mickens solve numerically systems describing epidemics with less computational effort. Finally, with these matrix NSFD schemes it can be exploited more easily matrix operations advantages.
publishDate 2010
dc.date.none.fl_str_mv 2010
2010-11-01
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/10251/60495
url https://riunet.upv.es/handle/10251/60495
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
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
dc.publisher.none.fl_str_mv World Scientific and Engineering Academy and Society (WSEAS)
publisher.none.fl_str_mv World Scientific and Engineering Academy and Society (WSEAS)
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 15.300724

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