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

Khan H., Alzabut J., Tunç O., Kaabar M. K.

Results in Control and Optimization, cilt.10, 2023 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 10
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1016/j.rico.2023.100199
  • Dergi Adı: Results in Control and Optimization
  • Derginin Tarandığı İndeksler: Scopus
  • Anahtar Kelimeler: Covid-19 mathematical model, Existence results, Fractal–fractional derivative, Numerical simulations, Stability of solution
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

© 2023 The Author(s)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.