An NSFD scheme for a class of SIR epidemic models with vaccination and treatment

DOI10.1080/10236198.2013.844802zbMath1319.92025OpenAlexW1963653781MaRDI QIDQ2941696

Qianqian Cui, Xia Yang, Qiang Zhang

Publication date: 24 August 2015

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

Full work available at URL: https://doi.org/10.1080/10236198.2013.844802

zbMATH Keywords

discrete-time modelasymptotically stableSIR epidemic modeldynamically consistentNSFD scheme

Mathematics Subject Classification ID

Epidemiology (92D30) Discrete version of topics in analysis (39A12) Finite difference and finite volume methods for ordinary differential equations (65L12) Medical epidemiology (92C60)

Related Items (8)

On the nonstandard numerical discretization of SIR epidemic model with a saturated incidence rate and vaccination ⋮ A consistent discrete version of a nonautonomous SIRVS model ⋮ On an efficient implementation and mass boundedness conditions for a discrete Dirichlet problem associated with a nonlinear system of singular partial differential equations ⋮ Analysis of two discrete forms of the classic continuous SIR epidemiological model ⋮ An NSFD scheme for SIR epidemic models of childhood diseases with constant vaccination strategy ⋮ Nonstandard finite difference methods: recent trends and further developments ⋮ Global stability of a discrete SIR epidemic model with vaccination and treatment ⋮ Stability preserving non-standard finite difference scheme for a harvesting Leslie–Gower predator–prey model

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