Optimal Control and Sensitivity Analysis of a Fractional Order TB Model
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.
Keywords
Cite
@article{arxiv.1812.04507,
title = {Optimal Control and Sensitivity Analysis of a Fractional Order TB Model},
author = {Silverio Rosa and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:1812.04507},
year = {2019}
}
Comments
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