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

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 usi...

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Detalles Bibliográficos
Autores principales: Rezapour, Shahram, Mohammadi, Hakimeh, Samei, Mohammad Esmael
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2020
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7487450/
https://www.ncbi.nlm.nih.gov/pubmed/32952538
http://dx.doi.org/10.1186/s13662-020-02952-y
Descripción
Sumario: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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