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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Detalhes bibliográficos
Autor principal: Almeida, Ricardo (author)
Outros Autores: Cruz, Artur Miguel (author), Martins, Natália (author), Monteiro, Maria Teresa (author)
Formato: article
Idioma:eng
Publicado em: 2019
Assuntos:
Texto completo:http://hdl.handle.net/10773/26080
País:Portugal
Oai:oai:ria.ua.pt:10773/26080
Descrição
Resumo: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.