[HTML][HTML] A nonstandard numerical scheme of predictor–corrector type for epidemic models
AJ Arenas, G González-Parra… - … & Mathematics with …, 2010 - Elsevier
AJ Arenas, G González-Parra, BM Chen-Charpentier
Computers & Mathematics with Applications, 2010•ElsevierIn this paper we construct and develop a competitive nonstandard finite difference numerical
scheme of predictor–corrector type for the classical SIR epidemic model. This proposed
scheme is designed with the aim of obtaining dynamical consistency between the discrete
solution and the solution of the continuous model. The nonstandard finite difference scheme
with Conservation Law (NSFDCL) developed here satisfies some important properties
associated with the considered SIR epidemic model, such as positivity, boundedness …
scheme of predictor–corrector type for the classical SIR epidemic model. This proposed
scheme is designed with the aim of obtaining dynamical consistency between the discrete
solution and the solution of the continuous model. The nonstandard finite difference scheme
with Conservation Law (NSFDCL) developed here satisfies some important properties
associated with the considered SIR epidemic model, such as positivity, boundedness …
In this paper we construct and develop a competitive nonstandard finite difference numerical scheme of predictor–corrector type for the classical SIR epidemic model. This proposed scheme is designed with the aim of obtaining dynamical consistency between the discrete solution and the solution of the continuous model. The nonstandard finite difference scheme with Conservation Law (NSFDCL) developed here satisfies some important properties associated with the considered SIR epidemic model, such as positivity, boundedness, monotonicity, stability and conservation of frequency of the oscillations. Numerical comparisons between the NSFDCL numerical scheme developed here and Runge–Kutta type schemes show its effectiveness.
Elsevier
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