Litcius/Paper detail

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

Hasib Khan, Jehad Alzabut, Osman Tunç, Mohammed K. A. Kaabar

2023Results in Control and Optimization64 citationsDOIOpen Access PDF

Abstract

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.

Topics & Concepts

Coronavirus disease 2019 (COVID-19)QuarantineFractal2019-20 coronavirus outbreakSevere acute respiratory syndrome coronavirus 2 (SARS-CoV-2)MedicineMathematicsVirologyInternal medicineMathematical analysisDiseasePathologyOutbreakInfectious disease (medical specialty)COVID-19 epidemiological studiesCOVID-19 Clinical Research StudiesDiabetes Management and Research