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arXiv · 1812.04507

Optimal Control and Sensitivity Analysis of a Fractional Order TB Model

Silverio Rosa·Delfim F. M. Torres
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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.

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Silverio Rosa, Delfim F. M. Torres. 2018-12-11. Optimal Control and Sensitivity Analysis of a Fractional Order TB Model. https://doi.org/10.19139/soic-2310-5070-836

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