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

Hasib KhanDepartment of Mathematics, Prince Sultan University, PO Box 66833, 11586 Riyadh, Saudi ArabiaJehad AlzabutDepartment of Industrial Engineering, OSTİM Technical University, 06374, Ankara, TurkeyOsman TunçDepartment of Computer Programming, Baskale Vocational School, Van Yuzuncu Yil University, 65080, Van, TurkeyMohammed K. A. KaabarInstitute of Mathematical Sciences, Faculty of Science, Universiti Malaya, Kuala Lumpur 50603, Malaysia
2023en
ABI

Аннотация

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.

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