An epidemiological MSEIR model described by the Caputo fractional derivative

A fractional MSEIR model is presented, involving the Caputo fractional derivative. The equilibrium points and the basic reproduction number are computed. An analysis of the local asymptotic stability at the disease free equilibrium is given. Finally a numerical simulation, using Matlab based on opti...

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Bibliographic Details
Main Author: Almeida, Ricardo (author)
Other Authors: Cruz, Artur Miguel (author), Martins, Natália (author), Monteiro, Maria Teresa (author)
Format: article
Language:eng
Published: 2019
Subjects:
Epidemics
Fractional calculus
Fractional differential equations
Local stability
MSEIR model
Online Access:http://hdl.handle.net/10773/26080
Country:Portugal
Oai:oai:ria.ua.pt:10773/26080
Description
Summary:A fractional MSEIR model is presented, involving the Caputo fractional derivative. The equilibrium points and the basic reproduction number are computed. An analysis of the local asymptotic stability at the disease free equilibrium is given. Finally a numerical simulation, using Matlab based on optimization techniques, of the varicella outbreak among Shenzhen school children, China, is carried out.

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