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A hybrid fractional COVID-19 model with general population mask use: Numerical treatments

N. H. Sweilam, Seham M. Al‐Mekhlafi, Al danah Ghazai Almutairi, Dumitru Bǎleanu

2021Alexandria Engineering Journal19 citationsDOIOpen Access PDF

Abstract

In this work, a novel mathematical model of Coronavirus (2019-nCov) with general population mask use with modified parameters. The proposed model consists of fourteen fractional-order nonlinear differential equations. Grünwald-Letnikov approximation is used to approximate the new hybrid fractional operator. Compact finite difference method of six order with a new hybrid fractional operator is developed to study the proposed model. Stability analysis of the used methods are given. Comparative studies with generalized fourth order Runge–Kutta method are given. It is found that, the proposed model can be described well the real data of daily confirmed cases in Egypt.

Topics & Concepts

Applied mathematicsMathematicsFractional calculusStability (learning theory)Operator (biology)Nonlinear systemPopulationPopulation modelOrder (exchange)Coronavirus disease 2019 (COVID-19)Computer sciencePhysicsMedicineMachine learningRepressorPathologyBiochemistryGeneInfectious disease (medical specialty)ChemistryEconomicsEnvironmental healthTranscription factorFinanceQuantum mechanicsDiseaseFractional Differential Equations SolutionsMathematical and Theoretical Epidemiology and Ecology ModelsNonlinear Differential Equations Analysis