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Analysis and numerical simulation of novel coronavirus (COVID‐19) model with Mittag‐Leffler Kernel

Viswanathan Padmavathi, Amit Prakash, K. Alagesan, N. Magesh

2020Mathematical Methods in the Applied Sciences16 citationsDOI

Abstract

Every now and then, there has been natural or man‐made calamities. Such adversities instigate various institutions to find solutions for them. The current study attempts to explore the disaster caused by the micro enemy called coronavirus for the past few months and aims at finding the solution for the system of nonlinear ordinary differential equations to which q − homotopy analysis transform method ( q − HATM) has been applied to arrive at effective results. In this paper, there are eight nonlinear ordinary differential equations considered and to solve them the advanced fractional operator Atangana‐Baleanu (AB) fractional derivative has been applied to produce better understanding. The outcomes have been presented in terms of plots. Ultimately, the present study assists in examining the real‐world models and aids in predicting their behavior corresponding to the parameters considered in the models.

Topics & Concepts

MathematicsFractional calculusKernel (algebra)Ordinary differential equationNonlinear systemCoronavirusApplied mathematicsHomotopy analysis methodCoronavirus disease 2019 (COVID-19)Partial differential equationDerivative (finance)Operator (biology)HomotopyMathematical analysisDifferential equationPure mathematicsRepressorInfectious disease (medical specialty)PathologyMedicineGeneChemistryFinancial economicsDiseasePhysicsTranscription factorEconomicsBiochemistryQuantum mechanicsFractional Differential Equations SolutionsIterative Methods for Nonlinear Equations
Analysis and numerical simulation of novel coronavirus (COVID‐19) model with Mittag‐Leffler Kernel | Litcius