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Advisor(s)
Abstract(s)
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.
Description
Keywords
Tuberculosis Compartmental mathematical models Fractional optimal control