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.Comment: 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:1810.0690
