A nonstandard numerical scheme of predictorcorrector type for epidemic models
In this paper we construct and develop a competitive nonstandard finite difference numerical scheme of predictorcorrector 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 RungeKutta type schemes show its effectiveness.
predictorcorrector nonstandard finite difference schemes numerical solution epidemic model sir