2018/12/11 by Silverio Rosa, Delfim F. M. Torres
Mathematics · #math.OC #msc:34A08 #msc:49M05 #msc:92C60
paper · pdf · doi:10.19139/soic-2310-5070-836
published as Stat. Optim. Inf. Comput. 7 (2019), no. 3, 617--625 · This is a preprint of a paper whose final and definite form is with 'Statistics Opt. Inform. Comput.', Vol. 7, No 2 (2019). See [http://www.IAPress.org]. Submitted 09/Sept/2018; Revised 10/Dec/2018; Accepted 11/Dec/2018. arXiv admin note: text overlap with arXiv:1801.09634, arXiv:1810.06900
arxiv created 2018/12/11 · arxiv updated 2019/08/12
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.