Nonstandard Finite Difference Schemes for an SIR Epidemic Model

Mohammad Mehdizadeh Khalsaraei, Ali Shokri, Samad Noeiaghdam and Maryam Molayi
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Mohammad Mehdizadeh Khalsaraei: Department of Mathematics, University of Maragheh, Maragheh 55181-83111, Iran
Ali Shokri: Department of Mathematics, University of Maragheh, Maragheh 55181-83111, Iran
Samad Noeiaghdam: Department of Applied Mathematics and Programming, South Ural State University, Lenin Prospect 76, 454080 Chelyabinsk, Russia
Maryam Molayi: Department of Mathematics, University of Maragheh, Maragheh 55181-83111, Iran

Mathematics, 2021, vol. 9, issue 23, 1-13

Abstract: 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.

Keywords: positivity; elementary stability; nonstandard finite difference (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (2)

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