A comparative study on numerical stability for solutions of the SIR epidemic model with demography using standard finite difference and nonstandard finite difference schemes

The continuous SIR epidemic model with demography is discretized in this study using a nonstandard finite difference (NSFD) scheme. We compared the solutions of the model with two methods on standard finite difference (SFD) scheme; the Euler method and the classical fourth-order Runge-Kutta (RK-4) m...

Full description

Saved in:
Bibliographic Details
Main Author: Yong, Benny
Format: Conference Proceeding
Language:English
Subjects:
Comparative studies
Demography
Epidemics
Finite difference method
Mathematical models
Numerical stability
Runge-Kutta method
Stability
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The continuous SIR epidemic model with demography is discretized in this study using a nonstandard finite difference (NSFD) scheme. We compared the solutions of the model with two methods on standard finite difference (SFD) scheme; the Euler method and the classical fourth-order Runge-Kutta (RK-4) method. The results showed that numerical instability on the SIR epidemic model with demography occurs in the SFD scheme for large time step sizes while the NSFD scheme preserves the properties of the continuous model, such as the stability behavior of the equilibrium states.
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0194569