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http://hdl.handle.net/10773/26479
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Rosa, Silvério | pt_PT |
dc.contributor.author | Torres, Delfim F. M. | pt_PT |
dc.date.accessioned | 2019-09-03T18:01:29Z | - |
dc.date.available | 2019-09-03T18:01:29Z | - |
dc.date.issued | 2019-09 | - |
dc.identifier.issn | 2311-004X | pt_PT |
dc.identifier.uri | http://hdl.handle.net/10773/26479 | - |
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.sponsorship | Rosa was supported by the Portuguese Foundation for Science and Technology (FCT) through IT (project UID/EEA/50008/2019); Torres by FCT through CIDMA (project UID/MAT/04106/2019) and TOCCATA (project PTDC/EEI-AUT/2933/2014 funded by FEDER and COMPETE 2020). | pt_PT |
dc.language.iso | eng | pt_PT |
dc.relation | UID/EEA/50008/2019 | pt_PT |
dc.relation | UID/MAT/04106/2019 | pt_PT |
dc.relation | PTDC/EEI-AUT/2933/2014 | pt_PT |
dc.rights | openAccess | pt_PT |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | pt_PT |
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 | article | pt_PT |
dc.description.version | published | pt_PT |
dc.peerreviewed | yes | pt_PT |
degois.publication.firstPage | 617 | pt_PT |
degois.publication.issue | 3 | pt_PT |
degois.publication.lastPage | 625 | pt_PT |
degois.publication.title | Statistics, Optimization and Information Computing | pt_PT |
degois.publication.volume | 7 | pt_PT |
dc.identifier.doi | 10.19139/soic-2310-5070-836 | pt_PT |
dc.identifier.essn | 2310-5070 | pt_PT |
Appears in Collections: | CIDMA - Artigos SCG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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[426]Rosa_Torres-SOIC-2019.pdf | 610.87 kB | Adobe PDF | View/Open |
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