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

Advances in Difference Equations

article

Rezapour, Shahram¹  Mohammadi, Hakimeh⁴  Samei, Mohammad Esmael⁵ 

[1] Institute of Research and Development, Duy Tan University;Faculty of Natural Sciences, Duy Tan University;Department of Medical Research, China Medical University Hospital, China Medical University;Department of Mathematics, Miandoab Branch, Islamic Azad University;Department of Mathematics, Bu-Ali Sina University

关键词: COVID-19;    Equilibrium point;    Numerical simulation;    SEIR model;   

DOI  :  10.1186/s13662-020-02952-y

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY