Nonstandard Finite Difference Schemes for an SIR Epidemic Model

Mathematics

Samad Noeiaghdam¹  Mohammad Mehdizadeh Khalsaraei²  Ali Shokri²  Maryam Molayi² 

[1] Department of Applied Mathematics and Programming, South Ural State University, Lenin Prospect 76, 454080 Chelyabinsk, Russia;Department of Mathematics, University of Maragheh, Maragheh 55181-83111, Iran;

关键词: positivity;    elementary stability;    nonstandard finite difference;   

DOI  :  10.3390/math9233082

来源: DOAJ

【 摘 要 】

This paper aims to present two nonstandard finite difference (NFSD) methods to solve an SIR epidemic model. The proposed methods have important properties such as positivity and boundedness and they also preserve conservation law. Numerical comparisons confirm that the accuracy of our method is better than that of other existing standard methods such as the second-order Runge–Kutta (RK2) method, the Euler method and some ready-made MATLAB codes.

【 授权许可】

Unknown