New Coronavirus (2019-nCov) Mathematical Model Using Piecewise Hybrid Fractional Order Derivatives; Numerical Treatments

A new mathematical model of Coronavirus (2019-nCov) using piecewise hybrid fractional order derivatives is given in this paper. Moreover, in order to be consistent with the physical model problem, a new parameter μ is presented. The boundedness, existence, and positivity of the solutions for the pro...

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Bibliographic Details
Published in:Mathematics (Basel) 2022-12, Vol.10 (23), p.4579
Main Authors: Sweilam, Nasser H, Al-Mekhlafi, Seham M, Hassan, Saleh M, Alsenaideh, Nehaya R, Radwan, Abdelaziz Elazab
Format: Article
Language:English
Subjects:
Comparative studies
Coronaviruses
COVID-19
Disease transmission
Epidemiology
Fatalities
Finite difference method
Food science
Fractional calculus
fractional stochastic–deterministic models
Grünwald–Letnikov nonstandard finite difference method
hybrid fractional coronavirus (2019-nCov) mathematical models
Infections
Infectious diseases
Mathematical models
nonstandard fractional Euler–Maruyama technique
Numerical analysis
Numerical methods
piecewise numerical methods
Stochastic models
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Summary:A new mathematical model of Coronavirus (2019-nCov) using piecewise hybrid fractional order derivatives is given in this paper. Moreover, in order to be consistent with the physical model problem, a new parameter μ is presented. The boundedness, existence, and positivity of the solutions for the proposed model are discussed. Two improved numerical methods are presented in this paper. The Caputo proportional constant nonstandard modified Euler–Maruyama method is introduced to study the fractional stochastic model, and the Grünwald–Letnikov nonstandard finite difference method is presented to study the hybrid fractional order deterministic model. Comparative studies with real data from Spain and Wuhan are presented.
ISSN:2227-7390
2227-7390
DOI:10.3390/math10234579