A positive and elementary stable nonstandard explicit scheme for a mathematical model of the influenza disease

[EN]In this paper, a nonstandard explicit discretization strategy is considered to construct a new nonstandard finite difference scheme for solving a mathematical model of the influenza disease. The new proposed scheme has some interesting properties such as high accuracy and ease of implementation,...

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Detalhes bibliográficos
Autores: Khalsaraei, Mohammad Mehdizadeh, Shokri, Ali, Ramos Calle, Higinio, Heydari, Shahin
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2021
País:España
Recursos:Universidad de Salamanca (USAL)
Repositorio:GREDOS. Repositorio Institucional de la Universidad de Salamanca
OAI Identifier:oai:gredos.usal.es:10366/154423
Acesso em linha:http://hdl.handle.net/10366/154423
Access Level:acceso abierto
Palavra-chave:Nonstandard finite difference
Positivity
Elementary stability
Conservation law
12 Matemáticas
1299 Otras Especialidades Matemáticas
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spelling A positive and elementary stable nonstandard explicit scheme for a mathematical model of the influenza diseaseKhalsaraei, Mohammad MehdizadehShokri, AliRamos Calle, HiginioHeydari, ShahinNonstandard finite differencePositivityElementary stabilityConservation law12 Matemáticas1299 Otras Especialidades Matemáticas[EN]In this paper, a nonstandard explicit discretization strategy is considered to construct a new nonstandard finite difference scheme for solving a mathematical model of the influenza disease. The new proposed scheme has some interesting properties such as high accuracy and ease of implementation, as well as some preserving properties of the exact theoretical solution of the SIRC system, like positivity and elementary stability. These characteristics make it suitable for solving efficiently the propose model. We provide some numerical comparisons to illustrate our results.Elsevier202420242021info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://hdl.handle.net/10366/154423reponame:GREDOS. Repositorio Institucional de la Universidad de Salamancainstname:Universidad de Salamanca (USAL)InglésAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:gredos.usal.es:10366/1544232026-06-07T06:28:51Z
dc.title.none.fl_str_mv A positive and elementary stable nonstandard explicit scheme for a mathematical model of the influenza disease
title A positive and elementary stable nonstandard explicit scheme for a mathematical model of the influenza disease
spellingShingle A positive and elementary stable nonstandard explicit scheme for a mathematical model of the influenza disease
Khalsaraei, Mohammad Mehdizadeh
Nonstandard finite difference
Positivity
Elementary stability
Conservation law
12 Matemáticas
1299 Otras Especialidades Matemáticas
title_short A positive and elementary stable nonstandard explicit scheme for a mathematical model of the influenza disease
title_full A positive and elementary stable nonstandard explicit scheme for a mathematical model of the influenza disease
title_fullStr A positive and elementary stable nonstandard explicit scheme for a mathematical model of the influenza disease
title_full_unstemmed A positive and elementary stable nonstandard explicit scheme for a mathematical model of the influenza disease
title_sort A positive and elementary stable nonstandard explicit scheme for a mathematical model of the influenza disease
dc.creator.none.fl_str_mv Khalsaraei, Mohammad Mehdizadeh
Shokri, Ali
Ramos Calle, Higinio
Heydari, Shahin
author Khalsaraei, Mohammad Mehdizadeh
author_facet Khalsaraei, Mohammad Mehdizadeh
Shokri, Ali
Ramos Calle, Higinio
Heydari, Shahin
author_role author
author2 Shokri, Ali
Ramos Calle, Higinio
Heydari, Shahin
author2_role author
author
author
dc.subject.none.fl_str_mv Nonstandard finite difference
Positivity
Elementary stability
Conservation law
12 Matemáticas
1299 Otras Especialidades Matemáticas
topic Nonstandard finite difference
Positivity
Elementary stability
Conservation law
12 Matemáticas
1299 Otras Especialidades Matemáticas
description [EN]In this paper, a nonstandard explicit discretization strategy is considered to construct a new nonstandard finite difference scheme for solving a mathematical model of the influenza disease. The new proposed scheme has some interesting properties such as high accuracy and ease of implementation, as well as some preserving properties of the exact theoretical solution of the SIRC system, like positivity and elementary stability. These characteristics make it suitable for solving efficiently the propose model. We provide some numerical comparisons to illustrate our results.
publishDate 2021
dc.date.none.fl_str_mv 2021
2024
2024
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10366/154423
url http://hdl.handle.net/10366/154423
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.rights.none.fl_str_mv Attribution-NonCommercial-NoDerivatives 4.0 Internacional
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Attribution-NonCommercial-NoDerivatives 4.0 Internacional
http://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:GREDOS. Repositorio Institucional de la Universidad de Salamanca
instname:Universidad de Salamanca (USAL)
instname_str Universidad de Salamanca (USAL)
reponame_str GREDOS. Repositorio Institucional de la Universidad de Salamanca
collection GREDOS. Repositorio Institucional de la Universidad de Salamanca
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,301603

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