A note on an NSFD scheme for a mathematical model of respiratory virus transmission

DOI10.1080/10236198.2010.515590zbMath1236.92040arXiv1008.2314OpenAlexW2135581550MaRDI QIDQ2881925

Talitha M. Washington, Ronald E. Mickens

Publication date: 3 May 2012

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

Full work available at URL: https://arxiv.org/abs/1008.2314

zbMATH Keywords

epidemic modelsnon-standard finite difference schemesSIRS models

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite difference and finite volume methods for ordinary differential equations (65L12) Medical epidemiology (92C60) Stochastic difference equations (39A50)

Related Items (13)

The stability of a stochastic discrete SIVS epidemic model with general nonlinear incidence ⋮ On the symmetrization and composition of nonstandard finite difference schemes as an alternative to Richardson's extrapolation ⋮ An NSFD scheme for a class of SIR epidemic models with vaccination and treatment ⋮ A discrete-time analog for coupled within-host and between-host dynamics in environmentally driven infectious disease ⋮ Global dynamics for discrete-time analog of viral infection model with nonlinear incidence and CTL immune response ⋮ A consistent discrete version of a nonautonomous SIRVS model ⋮ Global attractivity for a class of delayed discrete SIRS epidemic models with general nonlinear incidence ⋮ An NSFD scheme for SIR epidemic models of childhood diseases with constant vaccination strategy ⋮ Unnamed Item ⋮ Nonstandard finite difference methods: recent trends and further developments ⋮ An improvement of two nonstandard finite difference schemes for two population mathematical models ⋮ Time-space variable-order fractional nonlinear system of thermoelasticity: numerical treatment ⋮ Global stability of a discrete SIR epidemic model with vaccination and treatment

Cites Work

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• Non-standard numerical method for a mathematical model of RSV epidemiological transmission
• Calculation of denominator functions for nonstandard finite difference schemes for differential equations satisfying a positivity condition
• Numerical integration of population models satisfying conservation laws: NSFD methods
• Modeling epidemics caused by respiratory syncytial virus (RSV)

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