The Stability of Solutions of the Variable-Order Fractional Optimal Control Model for the COVID-19 Epidemic in Discrete Time

Meriem Boukhobza, Amar Debbouche, Lingeshwaran Shangerganesh and Juan J. Nieto ()
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Meriem Boukhobza: Department of Mathematics and Informatics, University of Mostaganem, Mostaganem 27000, Algeria
Amar Debbouche: Department of Mathematics, Guelma University, Guelma 24000, Algeria
Lingeshwaran Shangerganesh: Department of Applied Sciences, National Institute of Technology Goa, Ponda 403401, Goa, India
Juan J. Nieto: CITMAga, Departamento de Estatística, Análise Matemática e Optimización, Universidade de Santiago de Compostela, 15782 Santiago de Compostela, Spain

Mathematics, 2024, vol. 12, issue 8, 1-24

Abstract: This article introduces a discrete-time fractional variable order over a SEIQR model, incorporated for COVID-19. Initially, we establish the well-possedness of solution. Further, the disease-free and the endemic equilibrium points are determined. Moreover, the local asymptotic stability of the model is analyzed. We develop a novel discrete fractional optimal control problem tailored for COVID-19, utilizing a discrete mathematical model featuring a variable order fractional derivative. Finally, we validate the reliability of these analytical findings through numerical simulations and offer insights from a biological perspective.

Keywords: variable-order derivative; fractional discrete calculus; COVID-19 model; optimal control; stability; numerical simulation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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