Dynamically consistent nonstandard numerical schemes for solving some computer virus and malware propagation models
From MaRDI portal
Publication:6112867
DOI10.3934/mfc.2022042zbMath1528.65036OpenAlexW4313129519MaRDI QIDQ6112867
Manh Tuan Hoang, Dinh Hung Tran, Thi Kim Quy Ngo
Publication date: 7 August 2023
Published in: Mathematical Foundations of Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/mfc.2022042
Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Simulation of dynamical systems (37M05) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15) Internet topics (68M11) Computer security (68M25)
Cites Work
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- Non standard finite difference scheme preserving dynamical properties
- A novel computer virus model and its dynamics
- Nonstandard finite difference scheme for a diffusive within-host virus dynamics model with both virus-to-cell and cell-to-cell transmissions
- Dynamical behavior of computer virus on internet
- Stability analysis of a computer virus model in latent period
- A class of nonstandard numerical methods for autonomous dynamical systems
- A modified epidemiological model for computer viruses
- New results on the stability of discrete-time systems and applications to control problems
- On the convergence of Mickens' type nonstandard finite difference schemes on Lane-Emden type equations
- The effect of infected external computers on the spread of viruses: a compartment modeling study
- Global dynamics for discrete-time analog of viral infection model with nonlinear incidence and CTL immune response
- A computer virus model with graded cure rates
- Lyapunov functions for investigating stability properties of a fractional-order computer virus propagation model
- A positive and elementary stable nonstandard explicit scheme for a mathematical model of the influenza disease
- Dynamically consistent nonstandard finite difference schemes for a virus-patch dynamic model
- Global asymptotic stability of some epidemiological models for computer viruses and malware using nonlinear cascade systems
- A compartmental model for computer virus propagation with kill signals
- Modelling and analysis of propagation behavior of computer viruses with nonlinear countermeasure probability and infected removable storage media
- A second-order modified nonstandard theta method for one-dimensional autonomous differential equations
- Complete global stability of a metapopulation model and its dynamically consistent discrete models
- A new epidemic model of computer viruses
- Positivity and global stability preserving NSFD schemes for a mixing propagation model of computer viruses
- Nonstandard finite difference scheme for a Tacoma Narrows Bridge model
- A mixing propagation model of computer viruses and countermeasures
- The spread of computer virus under the effect of external computers
- Nonstandard finite-difference schemes for general two-dimensional autonomous dynamical systems
- Nonstandard finite difference schemes for solving an SIS epidemic model with standard incidence
- Dynamical analysis of two fractional-order SIQRA malware propagation models and their discretizations
- Nonstandard finite difference methods: recent trends and further developments
- Dynamic consistent non-standard numerical scheme for a dengue disease transmission model
- A non-standard finite difference method for a hepatitis B virus infection model with spatial diffusion
- Dynamically consistent discrete metapopulation model
- NONSTANDARD FINITE DIFFERENCE METHODS
- A non-standard finite difference scheme for an epidemic model with vaccination
- A note on a positivity preserving nonstandard finite difference scheme for a modified parabolic reaction–advection–diffusion PDE
- A robust nonstandard finite difference scheme for pricing real estate index options
- Nonstandard Finite Difference Schemes
- An improvement of two nonstandard finite difference schemes for two population mathematical models
- A note on a positivity preserving hyperbolic NSFD scheme for heat transfer
- On the symmetrization and composition of nonstandard finite difference schemes as an alternative to Richardson's extrapolation
- Global stability of a discrete SIR epidemic model with vaccination and treatment
- Lyapunov direct method for investigating stability of nonstandard finite difference schemes for metapopulation models
- On the use of nonstandard finite difference methods†
