On the Analytical Solution of Fractional SIR Epidemic Model. (2nd February 2023)

• Record Type: Journal Article
• Authors: Qazza, Ahmad; Saadeh, Rania
• Other Names: El Kafhali Said Academic Editor.
• Is Part Of: Applied computational intelligence and soft computing. Volume 2023(2023)
• Publication Date: 2023-02-02
• Subjects: Computational intelligence -- Periodicals; Soft computing -- Periodicals; 006.305
• DOI: 10.1155/2023/6973734
• Languages: English
• ISSNs: 1687-9724

Abstract

Abstract : 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.