This paper solves the SIR-epidemic model utilizing the homotopy perturbation method (HPM). The HPM is applied in a different way  in contrast to the HPM in the literature. The current approach uses a new canonical form for the system of the SIR-epidemic. The  analytic solution is obtained and compared with the published one, in addition, to the Runge-Kutta numerical method. The results show better accuracy than the corresponding ones.

ordinary differential equation, homotopy perturbation method, initial value problem, series solution

Received: December 8, 2023; Accepted: March 2, 2024; Published: June 11, 2024

How to cite this article: Nada A. M. Alshomrani, Weam G. Alharbi, Ibtisam M. A. Alanazi, Lujain S. M. Alyasi, Ghadi N. M. Alrefaei, Seada A. Al’amri and Asmaa H. Q. Alanzi, Homotopy perturbation method for solving a nonlinear system for an epidemic, Advances in Differential Equations and Control Processes 31(3) (2024), 347-355. https://doi.org/10.17654/0974324324019

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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