Um modelo fracionário logístico com medidas de controle para casos acumulados de COVID-19: cenários no Brasil

Authors

  • Michele Martins Lopes IMECC/Unicamp
  • Francielle Santo Pedro DMD/Unifesp
  • Daniella Sánchez Ibáñez Centro Docencia Cs. Básicas para Ingeniería /UAC
  • Vinícius Francisco Wasques DM/Unesp
  • Estevão Esmi MECC/Unicamp
  • Laécio Carvalho de Barros MECC/Unicamp

DOI:

https://doi.org/10.5540/03.2021.008.01.0496

Keywords:

Coronavírus, Equações Diferencias Fracionárias, Isolamento Social

Abstract

A curva de casos acumulados de indivíduos infectados por COVID-19 apresenta crescimento similar ao logístico, no período referente à cada “onda” epidêmica, como é chamado cada pico de casos ativos. Considerando que em cenários de pandemia é comum buscar medidas de controle com base em experiências prévias, neste trabalho buscamos modelar a curva de casos acumulados
através de um modelo logístico com retirada, para representar o controle, baseado em equações diferenciais fracionárias para incluir o efeito de memória. Com isso, apresentamos projeções dos cenários com e sem controle, buscando prever o número de infectados por coronavírus no Brasil.

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Published

2021-12-20

Issue

Section

Trabalhos Completos