Fractional Logistic Equation Applied to Brazilian COVID-19 Data

Autores

  • 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

Palavras-chave:

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

Resumo

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.

Downloads

Publicado

28-09-2022

Como Citar

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: 13 nov. 2024.