Discret fractional SIR model applied in dynamic of COVID-19

Authors

  • Ítalo José Lima de Sousa Universidade Estadual do Maranhão - UEMA
  • José Adson Reis Santos Universidade Estadual do Maranhão - UEMA
  • Lucas Vinicius da Silva Universidade Estadaul do Maranhão - UEMA
  • Felix Silva Costa Universidade Estatual do Maranhão - UEMA

Keywords:

COVID-19, curve fitting, discret Caputo derivative, fractional SIR model, basic reproduction number 𝑅0.

Abstract

In this article we present the discrete SIR fractional model, as an alternative to the study of epidemiologic problems and developing mathematical modeling. In particular, we applied the fractional model to determine the basic reproduction number 𝑅0 of COVID-19 by adjusting curves over a period of the 250 days. The time considered is relative to the first wave of COVID-19 in 2020 in the state of Maranhão, Brazil. With the values of 𝑅0 it is possible to know better this disease so that more efficient measures are taken against it.

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Published

2022-09-28

How to Cite

SOUSA, Ítalo J. L. de; SANTOS, J. A. R.; SILVA, L. V. da; COSTA, F. S. Discret fractional SIR model applied in dynamic of COVID-19. C.Q.D. - Revista Eletrônica Paulista de Matemática, Bauru, v. 22, n. 2, 2022. Disponível em: https://sistemas.fc.unesp.br/ojs/index.php/revistacqd/article/view/318. Acesso em: 24 nov. 2024.

Issue

v.22, n.2 - Edição Brazilian Symposium on Fractional Calculus – Set/2022

Section

Artigos de Pesquisa

License

Copyright (c) 2022 C.Q.D. - Revista Eletrônica Paulista de Matemática

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.