Journal
COMPUTERS & MATHEMATICS WITH APPLICATIONS
Volume 59, Issue 12, Pages 3740-3749Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2010.04.006
Keywords
Nonstandard finite difference schemes; Numerical solution; Epidemic model SIR; Predictor-corrector
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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. (C) 2010 Elsevier Ltd. All rights reserved.
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