The Stability of Solutions of the Variable-Order Fractional Optimal Control Model for the COVID-19 Epidemic in Discrete Time
Meriem Boukhobza, Amar Debbouche, L. Shangerganesh, Juan J. Nieto
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.
Topics & Concepts
Stability (learning theory)Fractional calculusApplied mathematicsVariable (mathematics)Discrete time and continuous timeMathematicsCoronavirus disease 2019 (COVID-19)Epidemic modelDerivative (finance)Order (exchange)Mathematical optimizationReliability (semiconductor)Control variableComputer scienceControl theory (sociology)Control (management)Mathematical analysisStatisticsDiseasePhysicsInfectious disease (medical specialty)MedicineArtificial intelligenceMachine learningFinancial economicsEnvironmental healthFinanceQuantum mechanicsEconomicsPathologyPower (physics)PopulationAnimal Virus Infections StudiesFractional Differential Equations SolutionsSARS-CoV-2 and COVID-19 Research