A Proposed Analytical and Numerical Treatment for the Nonlinear SIR Model via a Hybrid Approach

Abdulrahman B. Albidah ()
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Abdulrahman B. Albidah: Department of Mathematics, College of Science, Majmaah University, Al-Majmaah 11952, Saudi Arabia

Mathematics, 2023, vol. 11, issue 12, 1-15

Abstract: This paper re-analyzes the nonlinear Susceptible–Infected–Recovered (SIR) model using a hybrid approach based on the Laplace–Padé technique. The proposed approach is successfully applied to extract several analytic approximations for the infected and recovered individuals. The domains of applicability of such analytic approximations are addressed. In addition, the present results are validated through various comparisons with the Runge–Kutta numerical method. The obtained analytical results agree with the numerical ones for a wide range of numbers of contacts featured in the studied model. The efficiency of the present analysis reveals that it can be implemented to deal with other systems describing real-life phenomena.

Keywords: Laplace; Padé; ordinary differential equation; initial value problem; series solution; exact solution (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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