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Investigation of fractal-fractional order model of COVID-19 in Pakistan under Atangana-Baleanu Caputo (ABC) derivative

Arfan M 1 , Alrabaiah H 2 , Rahman MU 3 , Sun YL 4 , Hashim AS 5 , Pansera BA 6 Show all authors , Ahmadian A 7 , Salahshour S 8

Affiliations 

  • 1 Department of Mathematics, University of Malakand, Chakdara Dir (L), KPK, Pakistan
  • 2 Al Ain University, Al Ain, United Arab Emirates
  • 3 Department of Mathematics, Shanghai Jiao Tong University, 800 Dongchuan Road, Shanghai, PR China
  • 4 School of Science, Huzhou University, Huzhou 313000, PR China
  • 5 Computer & Information Sciences Department, Universiti Teknologi PETRONAS, 32610 Seri Iskandar, Perak, Malaysia
  • 6 Department of Law, Economics and Human Sciences & Decisions Lab, Mediterranea University of Reggio Calabria, Reggio Calabria 89125, Italy
  • 7 Institute of IR 4.0, The National University of Malaysia, Bangi, 43600 UKM, Selangor, Malaysia
  • 8 Faculty of Engineering and Natural Sciences, Bahcesehir University, Istanbul, Turkey
Results Phys, 2021 May;24:104046.
PMID: 33868907 DOI: 10.1016/j.rinp.2021.104046

Abstract

This manuscript addressing the dynamics of fractal-fractional type modified SEIR model under Atangana-Baleanu Caputo (ABC) derivative of fractional order y and fractal dimension p for the available data in Pakistan. The proposed model has been investigated for qualitative analysis by applying the theory of non-linear functional analysis along with fixed point theory. The fractional Adams-bashforth iterative techniques have been applied for the numerical solution of the said model. The Ulam-Hyers (UH) stability techniques have been derived for the stability of the considered model. The simulation of all compartments has been drawn against the available data of covid-19 in Pakistan. The whole study of this manuscript illustrates that control of the effective transmission rate is necessary for stoping the transmission of the outbreak. This means that everyone in the society must change their behavior towards self-protection by keeping most of the precautionary measures sufficient for controlling covid-19.

* Title and MeSH Headings from MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine.

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