Haar wavelet collocation approach for the solution of fractional order COVID-19 model using Caputo derivative

This article is devoted to study a compartmental mathematical model for the transmission dynamics of the novel Coronavirus-19 under Caputo fractional order derivative. By using fixed point theory of Schauder’s and Banach we establish some necessary conditions for existence of at least one solution t...

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Bibliographic Details
Published inAlexandria engineering journal Vol. 59; no. 5; pp. 3221 - 3231
Main Authors Shah, Kamal, Khan, Zareen A., Ali, Amjad, Amin, Rohul, Khan, Hasib, Khan, Aziz
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.10.2020
The Authors. Published by Elsevier B.V. on behalf of Faculty of Engineering, Alexandria University
Elsevier
Subjects
Coronavirus disease model
Fractional order derivative
Haar collocation method
Numerical simulations
Stability results
Numerical simulations
Fractional order derivative
Stability results
Haar collocation method
Coronavirus disease model
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Summary:This article is devoted to study a compartmental mathematical model for the transmission dynamics of the novel Coronavirus-19 under Caputo fractional order derivative. By using fixed point theory of Schauder’s and Banach we establish some necessary conditions for existence of at least one solution to model under investigation and its uniqueness. After the existence a general numerical algorithm based on Haar collocation method is established to compute the approximate solution of the model. Using some real data we simulate the results for various fractional order using Matlab to reveal the transmission dynamics of the current disease due to Coronavirus-19 through graphs.
ISSN:1110-0168
1110-0168
DOI:10.1016/j.aej.2020.08.028