The epidemic COVID-19 model via Caputo–Fabrizio fractional operator

Ajay Kumar, Amit Prakash, Hacı Mehmet Başkonuş

2022Waves in Random and Complex Media41 citationsDOI

Abstract

In this article, we analyze and identify the optimum values for a deeper sense of the mathematical model of the COVID-19 epidemic from the reservoir to humans by using a powerful fractional homotopy perturbation transform method with Caputo–Fabrizio fractional derivative. We receive simulations of this propagation under high parameters. Although the results show the efficacy of the theoretic framework considered for the governing structure. The obtained results also provide lighting on the dynamic behavior of the COVID-19 model. We gave a few numerical approximations to explain the efficiency of the proposed method for various values of fractional order, which correspond to the process. Finally, we graphically demonstrate the obtained outcome.

Topics & Concepts

Fractional calculusHomotopy perturbation methodMathematicsApplied mathematicsPerturbation (astronomy)Coronavirus disease 2019 (COVID-19)Epidemic modelOperator (biology)HomotopyMathematical optimizationPure mathematicsPhysicsRepressorPopulationGeneMedicineQuantum mechanicsDiseaseDemographyTranscription factorSociologyPathologyChemistryBiochemistryInfectious disease (medical specialty)Fractional Differential Equations SolutionsNonlinear Differential Equations AnalysisIterative Methods for Nonlinear Equations