A fractal–fractional COVID-19 model with a negative impact of quarantine on the diabetic patients

In this article, we consider a Covid-19 model for a population involving diabetics as a subclass in the fractal–fractional (FF) sense of derivative. The study includes: existence results, uniqueness, stability and numerical simulations. Existence results are studied with the help of fixed-point theo...

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Vydáno v:Results in control and optimization Ročník 10; s. 100199
Hlavní autoři: Khan, Hasib, Alzabut, Jehad, Tunç, Osman, Kaabar, Mohammed K.A.
Médium: Journal Article
Jazyk:angličtina
Vydáno: Elsevier B.V 01.03.2023
The Author(s). Published by Elsevier B.V
Elsevier
Témata:
Covid-19 mathematical model
Existence results
Fractal–fractional derivative
Numerical simulations
Stability of solution
Covid-19 mathematical model
Stability of solution
Existence results
Numerical simulations
Fractal–fractional derivative
ISSN:2666-7207, 2666-7207
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Shrnutí:In this article, we consider a Covid-19 model for a population involving diabetics as a subclass in the fractal–fractional (FF) sense of derivative. The study includes: existence results, uniqueness, stability and numerical simulations. Existence results are studied with the help of fixed-point theory and applications. The numerical scheme of this paper is based upon the Lagrange’s interpolation polynomial and is tested for a particular case with numerical values from available open sources. The results are getting closer to the classical case for the orders reaching to 1 while all other solutions are different with the same behavior. As a result, the fractional order model gives more significant information about the case study.
ISSN:2666-7207
2666-7207
DOI:10.1016/j.rico.2023.100199