Título
A positive and elementary stable nonstandard explicit scheme for a mathematical model of the influenza disease
Autor(es)
Palabras clave
Nonstandard finite difference
Positivity
Elementary stability
Conservation law
Clasificación UNESCO
12 Matemáticas
1299 Otras Especialidades Matemáticas
Fecha de publicación
2021
Editor
Elsevier
Citación
Mohammad Mehdizadeh Khalsaraei, Ali Shokri, Higinio Ramos, Shahin Heydari,
A positive and elementary stable nonstandard explicit scheme for a mathematical model of the influenza disease,
Mathematics and Computers in Simulation,
Volume 182,
2021,
Pages 397-410,
ISSN 0378-4754,
https://doi.org/10.1016/j.matcom.2020.11.013.
(https://www.sciencedirect.com/science/article/pii/S0378475420304079)
Resumen
[EN]In this paper, a nonstandard explicit discretization strategy is considered to construct a new nonstandard finite difference scheme for solving a mathematical model of the influenza disease. The new proposed scheme has some interesting properties such as high accuracy and ease of implementation, as well as some preserving properties of the exact theoretical solution of the SIRC system, like positivity and elementary stability. These characteristics make it suitable for solving efficiently the propose model. We provide some numerical comparisons to illustrate our results.
URI
ISSN
0378-4754
DOI
10.1016/j.matcom.2020.11.013
Versión del editor
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