4.4 Article

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

Journal

ADVANCES IN DIFFERENCE EQUATIONS
Volume 2020, Issue 1, Pages -

Publisher

SPRINGER
DOI: 10.1186/s13662-020-02952-y

Keywords

COVID-19; Equilibrium point; Numerical simulation; SEIR model

Funding

  1. Azarbaijan Shahid Madani University
  2. Miandoab Branch, Islamic Azad University
  3. Bu-Ali Sina University

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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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