A Fractional Epidemic Model with Mittag-Leffler Kernel for COVID-19

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Abstract

The aim is to explore a COVID-19 SEIR model involving Atangana-Baleanu Caputo type (ABC) fractional derivatives. Existence, uniqueness, positivity, and boundedness of the solutions for the alternative model are established. Some stability results of the proposed system are also presented. Numerical simulations results obtained in this paper, according to the real data, show that the model is more suitable for the disease evolution.

Original languageEnglish
Pages (from-to)39-56
Number of pages18
JournalMathematical Biology and Bioinformatics
Volume16
Issue number1
DOIs
StatePublished - 2021

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

  1. SDG 3 - Good Health and Well-being
    SDG 3 Good Health and Well-being

Keywords

  • ABC fractional derivative
  • COVID-19
  • epidemic model
  • equilibrium points
  • existence and uniqueness
  • incidence rate
  • numerical simulations

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