Finance

Derivative (finance)

Stability (learning theory)

Pathology

Sociology

Disease

Population

Coronavirus disease 2019 (COVID-19)

Mathematics

Infectious disease (medical specialty)

Euler's formula

Euler method

Partial differential equation

Financial economics

Machine learning

Demography

Fractional calculus

Mathematical analysis

Order (exchange)

Economics

Epidemic model

Computer science

Differential equation

Applied mathematics

Equilibrium point

Fixed-point theorem

Ordinary differential equation

Medicine

Transmission (telecommunications)

Telecommunications

Advances in Difference Equations

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.

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