2024 : 11 : 13

Mohammad Mehdizadeh

Academic rank: Professor
ORCID:
Education: PhD.
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HIndex:
Faculty: 1
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Research

Title
Nonstandard Finite Difference Schemes for an SIR Epidemic Model
Type
JournalPaper
Keywords
positivity; elementary stability; nonstandard finite difference
Year
2021
Journal Mathematics
DOI
Researchers Mohammad Mehdizadeh ، Ali Shokri Shokri ، Samad Noeiaghdam ،

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.