Please use this identifier to cite or link to this item:
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
DOI: 10.19139/soic-2310-5070-836
ISSN: 2311-004X
Appears in Collections:CIDMA - Artigos
SCG - Artigos

Files in This Item:
File Description SizeFormat 
[426]Rosa_Torres-SOIC-2019.pdf610.87 kBAdobe PDFView/Open

Formato BibTex MendeleyEndnote Degois 

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.