Fractional Derivatives Applied to Epidemiology
Noemi Zeraick Monteiro, Sandro Rodrigues Mazorche
Abstract
We seek investigate the use of fractional derivatives, both analytically and through simulations. We derivate some models and perform investigations about them, discussing difficulties and differences between classic and fractional models. Also, we analyzed the COVID-19 pandemic using a fractional epidemiological SIR model and performed a numerical analysis using finite differences and implementation in MATLAB.
Topics & Concepts
Fractional calculusApplied mathematicsPandemicEpidemiologyMATLABMathematicsCoronavirus disease 2019 (COVID-19)Computer scienceCalculus (dental)MedicineInternal medicineDentistryOperating systemInfectious disease (medical specialty)DiseaseFractional Differential Equations Solutions