Control of COVID-19 dynamics through a fractional-order model
arXiv:2102.06421 · doi:10.1016/j.aej.2021.02.022
Abstract
We investigate, through a fractional mathematical model, the effects of physical distance on the SARS-CoV-2 virus transmission. Two controls are considered in our model for eradication of the spread of COVID-19: media education, through campaigns explaining the importance of social distancing, use of face masks, etc., towards all population, while the second one is quarantine social isolation of the exposed individuals. A general fractional order optimal control problem, and associated optimality conditions of Pontryagin type, are discussed, with the goal to minimize the number of susceptible and infected while maximizing the number of recovered. The extremals are then numerically obtained.
This is a preprint of a paper whose final and definite form is published by 'Alexandria Engineering Journal' (ISSN: 1110-0168). Submitted 6/Jan/2021; Revised 28/Jan/2021; Accepted 12/Feb/2021
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