Fractional order mathematical modeling of COVID-19 transmission

Shabir Ahmad, Aman Ullah, Qasem M. Al-Mdallal, Hasib Khan, Kamal Shah, Aziz Khan

Research output: Contribution to journalArticlepeer-review

77 Citations (Scopus)

Abstract

In this article, the mathematical model with different compartments for the transmission dynamics of coronavirus-19 disease (COVID-19) is presented under the fractional-order derivative. Some results regarding the existence of at least one solution through fixed point results are derived. Then for the concerned approximate solution, the modified Euler method for fractional-order differential equations (FODEs) is utilized. Initially, we simulate the results by using some available data for different fractional-order to show the appropriateness of the proposed method. Further, we compare our results with some reported real data against confirmed infected and death cases per day for the initial 67 days in Wuhan city.

Original languageEnglish
Article number110256
JournalChaos, Solitons and Fractals
Volume139
DOIs
Publication statusPublished - Oct 2020

Keywords

  • Approximate solutions
  • Caputo's fractional derivative
  • Corona virus COVID-19
  • Fractional Euler's method

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematics(all)
  • Physics and Astronomy(all)
  • Applied Mathematics

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