Preservation of local dynamics when applying central difference methods: application to SIR model

DOI10.1080/10236190601079134zbMath1110.92044OpenAlexW2111678892MaRDI QIDQ3439826

Lih-Ing W. Roeger, Roger W. Barnard

Publication date: 18 May 2007

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236190601079134

zbMATH Keywords

conformal mappingdifference equationslocal dynamicscentral difference method

Mathematics Subject Classification ID

Epidemiology (92D30) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50) Numerical methods for ordinary differential equations (65L99)

Related Items (5)

Global dynamics of difference equations for SIR epidemic models with a class of nonlinear incidence rates ⋮ Exact finite difference and non-standard finite difference schemes for ⋮ Stability and bifurcations in a discrete-time SIVS model with saturated incidence rate ⋮ An accurate predictor-corrector-type nonstandard finite difference scheme for an SEIR epidemic model ⋮ A nonstandard finite difference scheme for a basic model of cellular immune response to viral infection

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• Discrete May-Leonard competition models. II
• Discrete May–Leonard Competition Models I
• A nonstandard discretization method for Lotka–Volterra models that preserves periodic solutions

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