Some results on Riccati equations, Floquet theory and applications

Detalhes bibliográficos
Autor(a) principal: Araujo, Anderson L. A. de
Data de Publicação: 2018
Outros Autores: Lemos, Abílio, Alves, Alexandre Miranda, Pedroso, Kennedy Martins
Tipo de documento: Artigo
Idioma: eng
Título da fonte: LOCUS Repositório Institucional da UFV
Texto Completo: https://doi.org/10.1007/s11784-018-0529-2
http://www.locus.ufv.br/handle/123456789/21516
Resumo: In this paper, we present two new results to the classical Floquet theory, which provides the Floquet multipliers for two classes of the planar periodic system. One of these results provides the Floquet multipliers independently of the solution of system. To demonstrate the application of these analytical results, we consider a cholera epidemic model with phage dynamics and seasonality incorporated.
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spelling Araujo, Anderson L. A. deLemos, AbílioAlves, Alexandre MirandaPedroso, Kennedy Martins2018-08-29T16:42:30Z2018-08-29T16:42:30Z2018-0316617746https://doi.org/10.1007/s11784-018-0529-2http://www.locus.ufv.br/handle/123456789/21516In this paper, we present two new results to the classical Floquet theory, which provides the Floquet multipliers for two classes of the planar periodic system. One of these results provides the Floquet multipliers independently of the solution of system. To demonstrate the application of these analytical results, we consider a cholera epidemic model with phage dynamics and seasonality incorporated.engJournal of Fixed Point Theory and Applicationsv. 20, n. 43, p. 1- 15, march 2018Springer International Publishing AG, part of Springer Natureinfo:eu-repo/semantics/openAccessFloquet theoryStabilityEpidemic modelsSome results on Riccati equations, Floquet theory and applicationsinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfreponame:LOCUS Repositório Institucional da UFVinstname:Universidade Federal de Viçosa (UFV)instacron:UFVORIGINALartigo.pdfartigo.pdfTexto completoapplication/pdf486745https://locus.ufv.br//bitstream/123456789/21516/1/artigo.pdf6db18c2096b507cce02a394fe59710c3MD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81748https://locus.ufv.br//bitstream/123456789/21516/2/license.txt8a4605be74aa9ea9d79846c1fba20a33MD52THUMBNAILartigo.pdf.jpgartigo.pdf.jpgIM Thumbnailimage/jpeg4796https://locus.ufv.br//bitstream/123456789/21516/3/artigo.pdf.jpg471b90bbc71b7642819f97839f864185MD53123456789/215162018-08-29 23:00:36.762oai:locus.ufv.br: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Repositório InstitucionalPUBhttps://www.locus.ufv.br/oai/requestfabiojreis@ufv.bropendoar:21452018-08-30T02:00:36LOCUS Repositório Institucional da UFV - Universidade Federal de Viçosa (UFV)false
dc.title.en.fl_str_mv Some results on Riccati equations, Floquet theory and applications
title Some results on Riccati equations, Floquet theory and applications
spellingShingle Some results on Riccati equations, Floquet theory and applications
Araujo, Anderson L. A. de
Floquet theory
Stability
Epidemic models
title_short Some results on Riccati equations, Floquet theory and applications
title_full Some results on Riccati equations, Floquet theory and applications
title_fullStr Some results on Riccati equations, Floquet theory and applications
title_full_unstemmed Some results on Riccati equations, Floquet theory and applications
title_sort Some results on Riccati equations, Floquet theory and applications
author Araujo, Anderson L. A. de
author_facet Araujo, Anderson L. A. de
Lemos, Abílio
Alves, Alexandre Miranda
Pedroso, Kennedy Martins
author_role author
author2 Lemos, Abílio
Alves, Alexandre Miranda
Pedroso, Kennedy Martins
author2_role author
author
author
dc.contributor.author.fl_str_mv Araujo, Anderson L. A. de
Lemos, Abílio
Alves, Alexandre Miranda
Pedroso, Kennedy Martins
dc.subject.pt-BR.fl_str_mv Floquet theory
Stability
Epidemic models
topic Floquet theory
Stability
Epidemic models
description In this paper, we present two new results to the classical Floquet theory, which provides the Floquet multipliers for two classes of the planar periodic system. One of these results provides the Floquet multipliers independently of the solution of system. To demonstrate the application of these analytical results, we consider a cholera epidemic model with phage dynamics and seasonality incorporated.
publishDate 2018
dc.date.accessioned.fl_str_mv 2018-08-29T16:42:30Z
dc.date.available.fl_str_mv 2018-08-29T16:42:30Z
dc.date.issued.fl_str_mv 2018-03
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://doi.org/10.1007/s11784-018-0529-2
http://www.locus.ufv.br/handle/123456789/21516
dc.identifier.issn.none.fl_str_mv 16617746
identifier_str_mv 16617746
url https://doi.org/10.1007/s11784-018-0529-2
http://www.locus.ufv.br/handle/123456789/21516
dc.language.iso.fl_str_mv eng
language eng
dc.relation.ispartofseries.pt-BR.fl_str_mv v. 20, n. 43, p. 1- 15, march 2018
dc.rights.driver.fl_str_mv Springer International Publishing AG, part of Springer Nature
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Springer International Publishing AG, part of Springer Nature
eu_rights_str_mv openAccess
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dc.publisher.none.fl_str_mv Journal of Fixed Point Theory and Applications
publisher.none.fl_str_mv Journal of Fixed Point Theory and Applications
dc.source.none.fl_str_mv reponame:LOCUS Repositório Institucional da UFV
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