Efficient Numerical Solutions to a SIR Epidemic Model

Two non-standard predictor-corrector type finite difference methods for a SIR epidemic model are proposed. The methods have useful and significant features, such as positivity, basic stability, boundedness and preservation of the conservation laws. The proposed schemes are compared with classical fo...

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Bibliographic Details
Published in:Mathematics (Basel) 2022-09, Vol.10 (18), p.3299
Main Authors: Mehdizadeh Khalsaraei, Mohammad, Shokri, Ali, Ramos, Higinio, Yao, Shao-Wen, Molayi, Maryam
Format: Article
Language:English
Subjects:
Conservation laws
elementary stability
epidemic models
Epidemics
Finite difference method
Mathematical models
Mathematical problems
numerical methods
Ordinary differential equations
positivity
Predictor-corrector methods
Runge-Kutta method
Stability analysis
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Summary:Two non-standard predictor-corrector type finite difference methods for a SIR epidemic model are proposed. The methods have useful and significant features, such as positivity, basic stability, boundedness and preservation of the conservation laws. The proposed schemes are compared with classical fourth order Runge–Kutta and non-standard difference methods (NSFD). The stability analysis is studied and numerical simulations are provided.
ISSN:2227-7390
2227-7390
DOI:10.3390/math10183299