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Numerical study of fractional order COVID-19 pandemic transmission model in context of ABO blood group

M. Higazy, F.M. Allehiany, Emad E. Mahmoud

2021Results in Physics26 citationsDOIOpen Access PDF

Abstract

The worldwide association of health (WHO) has stated that COVID-19 (the novel coronavirus disease-2019) as a pandemic. Here, the common SEIR model is generalized in order to show the dynamics of COVID-19 transmission taking into account the ABO blood group of the infected people. Fractional order Caputo derivative are used in the proposed model. Our study is guided by the results that have been obtained by Chen J, Fan H, Zhang L, et al. from three unique medical clinics in Wuhan and Shenzhen, China. In this study, the feasibility region of the proposed model are calculated plus the points of equilibrium. Also, the equilibrium points stability is examined. A unique solution existence for the proposed paradigm is proved via utilizing the fixed point theory with regards to Caputo fractional derivative. Numerical experiments of the proposed paradigm is done and we show its sensitivity to the fractional order.

Topics & Concepts

Context (archaeology)Fractional calculusCoronavirus disease 2019 (COVID-19)PandemicMathematicsABO blood group systemApplied mathematicsOrder (exchange)Stability (learning theory)Equilibrium pointEpidemic modelFixed-point theoremMedicineComputer scienceMathematical analysisDiseaseInternal medicineGeographyInfectious disease (medical specialty)EconomicsEnvironmental healthMachine learningFinanceArchaeologyDifferential equationPopulationFractional Differential Equations SolutionsMathematical and Theoretical Epidemiology and Ecology ModelsNonlinear Differential Equations Analysis
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