Please use this identifier to cite or link to this item: http://hdl.handle.net/10773/26080
Title: An epidemiological MSEIR model described by the Caputo fractional derivative
Author: Almeida, Ricardo
Cruz, Artur Miguel
Martins, Natália
Monteiro, Maria Teresa
Keywords: Epidemics
Fractional calculus
Fractional differential equations
Local stability
MSEIR model
Issue Date: 2019
Publisher: Springer
Abstract: 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.
Peer review: yes
URI: http://hdl.handle.net/10773/26080
DOI: 10.1007/s40435-018-0492-1
ISSN: 2195-268X
Publisher Version: https://link.springer.com/article/10.1007/s40435-018-0492-1
Appears in Collections:CIDMA - Artigos
SCG - Artigos

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