Higher-order nonstandard finite difference schemes for a MSEIR model for a malware propagation

DOI10.1016/j.cam.2016.11.044zbMath1357.65091OpenAlexW2560225085MaRDI QIDQ507976

A. H. Encinas, J. D. Hernández Guillén, A. Queiruga-Dios, Angel Martín del Rey, Gerardo Rodríguez Sánchez, Jesús Martín-Vaquero

Publication date: 9 February 2017

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2016.11.044

zbMATH Keywords

algorithmglobal stabilitynumerical experimentextrapolation techniquesnonstandard finite difference schemesepidemic process of infectious diseasesmalware propagationMSEIR model

Mathematics Subject Classification ID

Epidemiology (92D30) Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical investigation of stability of solutions to ordinary differential equations (65L07) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (8)

Positive and elementary stable explicit nonstandard Runge-Kutta methods for a class of autonomous dynamical systems ⋮ A novel second-order nonstandard finite difference method for solving one-dimensional autonomous dynamical systems ⋮ On the symmetrization and composition of nonstandard finite difference schemes as an alternative to Richardson's extrapolation ⋮ Variable step length algorithms with high-order extrapolated non-standard finite difference schemes for a SEIR model ⋮ A novel second-order nonstandard finite difference method preserving dynamical properties of a general single-species model ⋮ A generalized model for the population dynamics of a two stage species with recruitment and capture using a nonstandard finite difference scheme ⋮ A class of second-order and dynamically consistent nonstandard finite difference schemes for nonlinear Volterra's population growth model ⋮ Reliable approximations for a hepatitis B virus model by nonstandard numerical schemes

Cites Work

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• An Improved Theta-method for Systems of Ordinary Differential Equations
• Advances in the Applications of Nonstandard Finite Difference Schemes
• Comparison of Some Standard and Nonstandard Numerical Methods for the MSEIR Epidemiological Model
• Dynamically Consistent Non-Standard Finite Difference Schemes for the MSEIR Epidemiological Model

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