On the Analytical Solution of Fractional SIR Epidemic Model

This article presents the solution of the fractional SIR epidemic model using the Laplace residual power series method. We introduce the fractional SIR model in the sense of Caputo’s derivative; it is presented by three fractional differential equations, in which the third one depends on the first c...

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Bibliographic Details
Published in:Applied Computational Intelligence and Soft Computing Vol. 2023; pp. 1 - 16
Main Authors: Qazza, Ahmad, Saadeh, Rania
Format: Journal Article
Language:English
Published: New York Hindawi 02.02.2023
John Wiley & Sons, Inc
Wiley
Subjects:
Convergence
Differential equations
Disease
Epidemics
Epidemiology
Exact solutions
Fractional calculus
Laplace transforms
Mathematical models
Numerical analysis
Partial differential equations
Power series
Series expansion
Theorems
ISSN:1687-9724, 1687-9732
Online Access:Get full text
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Summary:This article presents the solution of the fractional SIR epidemic model using the Laplace residual power series method. We introduce the fractional SIR model in the sense of Caputo’s derivative; it is presented by three fractional differential equations, in which the third one depends on the first coupled equations. The Laplace residual power series method (LRPSM) is implemented in this research to solve the proposed model, in which we present the solution in a form of convergent series expansion that converges rapidly to the exact one. We analyze the results and compare the obtained approximate solutions to those obtained from other methods. Figures and tables are illustrated to show the efficiency of the LRPSM in handling the proposed SIR model.
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ISSN:1687-9724
1687-9732
DOI:10.1155/2023/6973734