Positivity-preserving and elementary stable nonstandard method for a COVID-19 SIR model

Abstract

The main purpose of this work is to build a numerical method for solving an epidemiological model that describes the spread of COVID-19 in some countries. The method is constructed using a NonStandard Finite Difference (NSFD) discretization for the analyzed model, in order to preserve its positivity and equilibrium points properties. Numerical simulations testify the best performance of the proposed scheme with respect to the related Standard Finite Difference (SFD) method, the famous explicit four-stage order-four Runge-Kutta known as RK4, and another positivity-preserving nonstandard method.

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Conte D., Pagano G., Paternoster B., Guarino N. (2022) "Positivity-preserving and elementary stable nonstandard method for a COVID-19 SIR model " Dolomites Research Notes on Approximation, 15(5), 65-77. DOI: 10.14658/PUPJ-DRNA-2022-5-7  
Year of Publication
2022
Journal
Dolomites Research Notes on Approximation
Volume
15
Issue Number
5
Start Page
65
Last Page
77
Date Published
12/2022
ISSN Number
2035-6803
Serial Article Number
7
DOI
10.14658/PUPJ-DRNA-2022-5-7
Issue
Section
SpecialIssue5