Fractal-Fractional Mathematical Model Addressing the Situation of Corona Virus in Pakistan

Kamal Shah; Muhammad Arfan; Ibrahim Mahariq; Ali Ahmadian; Soheil Salahshour; Massimiliano Ferrara

doi:10.1016/j.rinp.2020.103560

Results in Physics (Dec 2020)

Fractal-Fractional Mathematical Model Addressing the Situation of Corona Virus in Pakistan

Kamal Shah,
Muhammad Arfan,
Ibrahim Mahariq,
Ali Ahmadian,
Soheil Salahshour,
Massimiliano Ferrara

Affiliations

Kamal Shah: Department of Mathematics, University of Malakand, Dir(L) 18800, Pakistan
Muhammad Arfan: Department of Mathematics, University of Malakand, Dir(L) 18800, Pakistan
Ibrahim Mahariq: College of Engineering and Technology, American University of the Middle East, Kuwait; Department of Electrical and Electronics Engineering, University of Turkish Aeronautical Association, Ankara, Turkey
Ali Ahmadian: Institute of IR 4.0, The National University of Malaysia, 43600 UKM, Bangi, Selangor, Malaysia; Corresponding author.
Soheil Salahshour: Faculty of Engineering and Natural Sciences, Bahcesehir University, Istanbul, Turkey
Massimiliano Ferrara: ICRIOS-The Invernizzi Centre for Research in Innovation, Organization, Strategy and Entrepreneurship, Bocconi University, Department of Management and Technology Via Sarfatti, 25 20136 Milano MI, Italy

DOI: https://doi.org/10.1016/j.rinp.2020.103560
Journal volume & issue: Vol. 19
p. 103560

Abstract

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This work is the consideration of a fractal fractional mathematical model on the transmission and control of corona virus (COVID-19), in which the total population of an infected area is divided into susceptible, infected and recovered classes. We consider a fractal-fractional order SIR type model for investigation of Covid-19. To realize the transmission and control of corona virus in a much better way, first we study the stability of the corresponding deterministic model using next generation matrix along with basic reproduction number. After this, we study the qualitative analysis using “fixed point theory” approach. Next, we use fractional Adams-Bashforth approach for investigation of approximate solution to the considered model. At the end numerical simulation are been given by matlab to provide the validity of mathematical system having the arbitrary order and fractal dimension.

Published in Results in Physics

ISSN: 2211-3797 (Online)
Publisher: Elsevier
Country of publisher: Netherlands
LCC subjects: Science: Physics
Website: https://www.sciencedirect.com/journal/results-in-physics

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