Optimal Control and Sensitivity Analysis of a Fractional Order TB Model
Rosa, S.
; Torres, D. F. M. T.
Statistics, Optimization and Information Computing Vol. 7, Nº 3, pp. 617 - 625, August, 2019.
ISSN (print): 2311-004X
ISSN (online): 2310-5070
Scimago Journal Ranking: 0,28 (in 2019)
Digital Object Identifier: 10.19139/soic.v7i3.836
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.
