https://doi.org/10.1140/epjs/s11734-024-01294-0
Regular Article
Optimal control analysis of fractional order delayed SIQR model for COVID-19
Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology - Chennai, 600127, Chennai, Tamil Nadu, India
Received:
10
May
2024
Accepted:
3
August
2024
Published online:
19
August
2024
In this study, we propose an optimal control strategies for a fractional-order COVID-19 model with time delay. Existence and uniqueness of a solution to the fractional delay model are investigated. We compute the basic reproduction number and establish the local stability analysis of the model under the Caputo derivative. We develop a fractional order delayed optimal control problem based on vaccination and treatment as time-dependent control parameters. We derive the necessary and sufficient condition for optimal control. In MATLAB, the resulting fractional delay optimality system is numerically solved employing the forward–backward sweep method. Our findings suggest that combining fractional-order derivatives with time-delay in the model enhances dynamics while increasing model complexity.
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© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
