Publication
Optimal Control and Sensitivity Analysis of a Fractional Order TB Model
| dc.contributor.author | Rosa, Silvério | |
| dc.contributor.author | Torres, Delfim F. M. | |
| dc.date.accessioned | 2020-02-04T14:50:58Z | |
| dc.date.available | 2020-02-04T14:50:58Z | |
| dc.date.issued | 2018-12-11 | |
| dc.description.abstract | 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. | pt_PT |
| dc.description.version | info:eu-repo/semantics/publishedVersion | pt_PT |
| dc.identifier.doi | 10.19139/soic-2310-5070-836 | pt_PT |
| dc.identifier.uri | http://hdl.handle.net/10400.6/8995 | |
| dc.language.iso | eng | pt_PT |
| dc.peerreviewed | yes | pt_PT |
| dc.relation | Instituto de Telecomunicações | |
| dc.relation | Center for Research and Development in Mathematics and Applications | |
| dc.relation | Theory, Applications and Numerics of Optimal Control | |
| dc.subject | Tuberculosis | pt_PT |
| dc.subject | Compartmental mathematical models | pt_PT |
| dc.subject | Fractional optimal control | pt_PT |
| dc.title | Optimal Control and Sensitivity Analysis of a Fractional Order TB Model | pt_PT |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.awardTitle | Instituto de Telecomunicações | |
| oaire.awardTitle | Center for Research and Development in Mathematics and Applications | |
| oaire.awardTitle | Theory, Applications and Numerics of Optimal Control | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UID%2FEEA%2F50008%2F2019/PT | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UID%2FMAT%2F04106%2F2019/PT | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT/9471 - RIDTI/PTDC%2FEEI-AUT%2F2933%2F2014/PT | |
| oaire.citation.title | Statistics, Optimization And Information Computing | pt_PT |
| oaire.fundingStream | 6817 - DCRRNI ID | |
| oaire.fundingStream | 6817 - DCRRNI ID | |
| oaire.fundingStream | 9471 - RIDTI | |
| person.familyName | Simões Rosa | |
| person.familyName | Torres | |
| person.givenName | Silvério | |
| person.givenName | Delfim F. M. | |
| person.identifier | 584677 | |
| person.identifier.ciencia-id | 8E1E-8916-8FE8 | |
| person.identifier.ciencia-id | 911F-2677-3E84 | |
| person.identifier.orcid | 0000-0001-5153-4879 | |
| person.identifier.orcid | 0000-0001-8641-2505 | |
| person.identifier.scopus-author-id | 7102800859 | |
| project.funder.identifier | http://doi.org/10.13039/501100001871 | |
| project.funder.identifier | http://doi.org/10.13039/501100001871 | |
| project.funder.identifier | http://doi.org/10.13039/501100001871 | |
| project.funder.name | Fundação para a Ciência e a Tecnologia | |
| project.funder.name | Fundação para a Ciência e a Tecnologia | |
| project.funder.name | Fundação para a Ciência e a Tecnologia | |
| rcaap.rights | openAccess | pt_PT |
| rcaap.type | article | pt_PT |
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