Fractional Logistic Equation Applied to Brazilian COVID-19 Data

Authors

  • Anne Karoline Feitoza Mendonça Faculdade do Gama - Universidade de Brasília
  • Gabriel Matos Souza Faculdade do Gama - Universidade de Brasília
  • Denilson Nogueira dos Santos Paixão Faculdade do Gama - Universidade de Brasília
  • Ronni Geraldo Gomes de Amorim Faculdade do Gama Universidade de Brasília
  • Vinicius de Carvalho Rispoli Faculdade do Gama - Universidade de Brasília

Keywords:

Fractional Calculus, Caputo Fractional Derivative, Adams-Bashforth method, Fractional Logistic Equation, COVID-19.

Abstract

In this paper we analyzed a fractional logistic model applied to Brazilian COVID-19 data. In order to solve the logistic model, we presented a modified version of Adams-Bashforth numerical method. All numerical simulations were performed in MATLAB. As a result, the qualitative comparison between the theoretical model and the cumulative confirmed cases showed a great proximity. In this case, the coefficient of determination, 𝑅2, between these data sets, was calculated to be 0, 917, attesting that the fractional model can be used to model real data with quality.

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Published

2022-09-28

How to Cite

MENDONÇA, A. K. F.; SOUZA, G. M.; PAIXÃO, D. N. dos S.; AMORIM, R. G. G. de; RISPOLI, V. de C. Fractional Logistic Equation Applied to Brazilian COVID-19 Data. C.Q.D. - Revista Eletrônica Paulista de Matemática, Bauru, v. 22, n. 2, p. 1–10, 2022. Disponível em: https://sistemas.fc.unesp.br/ojs/index.php/revistacqd/article/view/297. 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.