Optimal Control and Sensitivity Analysis of a Fractional Order TB Model

Detalhes bibliográficos
Autor(a) principal: Rosa, Silvério
Data de Publicação: 2018
Outros Autores: Torres, Delfim F. M.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.6/8995
Resumo: A Caputo fractional-order mathematical model for the transmission dynamics of tuberculosis (TB) was recently proposed in [Math. Model. Nat. Phenom. 13 (2018), no. 1, Art. 9]. Here, a sensitivity analysis of that model is done, showing the importance of accuracy of parameter values. A fractional optimal control (FOC) problem is then formulated and solved, with the rate of treatment as the control variable. Finally, a cost-effectiveness analysis is performed to assess the cost and the effectiveness of the control measures during the intervention, showing in which conditions FOC is useful with respect to classical (integer-order) optimal control.
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spelling Optimal Control and Sensitivity Analysis of a Fractional Order TB ModelTuberculosisCompartmental mathematical modelsFractional optimal controlA Caputo fractional-order mathematical model for the transmission dynamics of tuberculosis (TB) was recently proposed in [Math. Model. Nat. Phenom. 13 (2018), no. 1, Art. 9]. Here, a sensitivity analysis of that model is done, showing the importance of accuracy of parameter values. A fractional optimal control (FOC) problem is then formulated and solved, with the rate of treatment as the control variable. Finally, a cost-effectiveness analysis is performed to assess the cost and the effectiveness of the control measures during the intervention, showing in which conditions FOC is useful with respect to classical (integer-order) optimal control.uBibliorumRosa, SilvérioTorres, Delfim F. M.2020-02-04T14:50:58Z2018-12-112018-12-11T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.6/8995eng10.19139/soic-2310-5070-836info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-12-15T09:49:30Zoai:ubibliorum.ubi.pt:10400.6/8995Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T00:49:15.188843Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Optimal Control and Sensitivity Analysis of a Fractional Order TB Model
title Optimal Control and Sensitivity Analysis of a Fractional Order TB Model
spellingShingle Optimal Control and Sensitivity Analysis of a Fractional Order TB Model
Rosa, Silvério
Tuberculosis
Compartmental mathematical models
Fractional optimal control
title_short Optimal Control and Sensitivity Analysis of a Fractional Order TB Model
title_full Optimal Control and Sensitivity Analysis of a Fractional Order TB Model
title_fullStr Optimal Control and Sensitivity Analysis of a Fractional Order TB Model
title_full_unstemmed Optimal Control and Sensitivity Analysis of a Fractional Order TB Model
title_sort Optimal Control and Sensitivity Analysis of a Fractional Order TB Model
author Rosa, Silvério
author_facet Rosa, Silvério
Torres, Delfim F. M.
author_role author
author2 Torres, Delfim F. M.
author2_role author
dc.contributor.none.fl_str_mv uBibliorum
dc.contributor.author.fl_str_mv Rosa, Silvério
Torres, Delfim F. M.
dc.subject.por.fl_str_mv Tuberculosis
Compartmental mathematical models
Fractional optimal control
topic Tuberculosis
Compartmental mathematical models
Fractional optimal control
description A Caputo fractional-order mathematical model for the transmission dynamics of tuberculosis (TB) was recently proposed in [Math. Model. Nat. Phenom. 13 (2018), no. 1, Art. 9]. Here, a sensitivity analysis of that model is done, showing the importance of accuracy of parameter values. A fractional optimal control (FOC) problem is then formulated and solved, with the rate of treatment as the control variable. Finally, a cost-effectiveness analysis is performed to assess the cost and the effectiveness of the control measures during the intervention, showing in which conditions FOC is useful with respect to classical (integer-order) optimal control.
publishDate 2018
dc.date.none.fl_str_mv 2018-12-11
2018-12-11T00:00:00Z
2020-02-04T14:50:58Z
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dc.type.driver.fl_str_mv info:eu-repo/semantics/article
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status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10400.6/8995
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dc.language.iso.fl_str_mv eng
language eng
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