Please use this identifier to cite or link to this item:
|Title:||Optimal control and sensitivity analysis of a fractional order TB model|
Torres, Delfim F. M.
Compartmental mathematical models
Fractional optimal control
|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.|
|Appears in Collections:||CIDMA - Artigos|
SCG - Artigos
Files in This Item:
|Rosa_Torres-SOIC-2019.pdf||610.87 kB||Adobe PDF||View/Open|
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.