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Peer-Reviewed Article September 13, 2020

SEIR epidemic model for COVID-19 transmission by Caputo derivative of fractional order

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Published in: Advances in Difference Equations
Publisher: Springer Nature • Egypt • 1687-1839
DOI: https://doi.org/10.1186/s13662-020-02952-y

Abstract

We provide a SEIR epidemic model for the spread of COVID-19 using the Caputo fractional derivative. The feasibility region of the system and equilibrium points are calculated and the stability of the equilibrium points is investigated. We prove the existence of a unique solution for the model by using fixed point theory. Using the fractional Euler method, we get an approximate solution to the model. To predict the transmission of COVID-19 in Iran and in the world, we provide a numerical simulation based on real data.

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