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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Bibliographic Details
Main Authors: Hasib Khan, Jehad Alzabut, Osman Tunç, Mohammed K.A. Kaabar
Format: Article
Language:English
Published: Elsevier 2023-03-01
Series:Results in Control and Optimization
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2666720723000012
Description
Summary: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