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http://hdl.handle.net/10773/26479
Title: | Optimal control and sensitivity analysis of a fractional order TB model |
Author: | Rosa, Silvério Torres, Delfim F. M. |
Keywords: | Tuberculosis Compartmental mathematical models Fractional optimal control |
Issue Date: | Sep-2019 |
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. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/26479 |
DOI: | 10.19139/soic-2310-5070-836 |
ISSN: | 2311-004X |
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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