2025/12/21
Mohammad Esmael Samei

Mohammad Esmael Samei

Academic rank: Associate Professor
ORCID: 0000-0002-5450-3127
Education: PhD.
H-Index:
Faculty: Faculty of Science
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E-mail: mesamei [at] basu.ac.ir
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Phone: 08131406263
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Research

Title
SEIR epidemic model for COVID-19 transmission by Caputo derivative of fractional order
Type
JournalPaper
Keywords
COVID-19; Equilibrium point; Numerical simulation; SEIR model
Year
2020
Journal Advances in Difference Equations
DOI
Researchers shahram Rezapour ، Hakimeh Mohammadi ، Mohammad Esmael Samei

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.