Fractional Modelling and Optimal Control of COVID-19 Transmission in Portugal
Rosa, S.
; Torres, D. F. M. T.
Axioms Vol. 11, Nº 4, pp. 1 - 15, April, 2022.
ISSN (print): 2075-1680
ISSN (online):
Scimago Journal Ranking: 0,39 (in 2022)
Digital Object Identifier: 10.3390/axioms11040170
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Abstract
A fractional-order compartmental model was recently used to describe real data of the first wave of the COVID-19 pandemic in Portugal [Chaos Solitons Fractals 144 (2021), Art. 110652]. Here, we modify that model in order to correct time dimensions and use it to investigate the third wave of COVID-19 that occurred in Portugal from December 2020 to February 2021, and that has surpassed all previous waves, both in number and consequences. A new fractional optimal control problem is then formulated and solved, with vaccination and preventive measures as controls. A cost-effectiveness analysis is carried out, and the obtained results are discussed.
