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A Nonstandard Numerical Scheme of Predictor–corrector Type for Epidemic Models by Abraham J. Arenas; Gilberto González-Parra; Benito M. Chen-Charpentier is a Engineering article available to read on EtoBox.

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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.

Who reads A Nonstandard Numerical Scheme of Predictor–corrector Type for Epidemic Models?

Author

Abraham J. Arenas; Gilberto González-Parra; Benito M. Chen-Charpentier

Publisher

Elsevier Science; Elsevier ; Elsevier Ltd.; Elsevier BV (ISSN 0898-1221)

Published

2010

Language

EN

Field

Engineering (Physical Sciences)