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Título
Efficient Numerical Solutions to a SIR Epidemic Model.
Autor(es)
Palabras clave
Epidemic models
Numerical methods
Elementary stability
Positivity
Clasificación UNESCO
12 Matemáticas
Fecha de publicación
2022
Editor
MDPI
Citación
Mehdizadeh Khalsaraei, M.; Shokri, A.; Ramos, H.; Yao, S.-W.; Molayi, M. Efficient Numerical Solutions to a SIR Epidemic Model. Mathematics 2022, 10, 3299. https://doi.org/10.3390/math10183299
Resumen
[EN]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.
URI
DOI
10.3390/math10183299
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