Lyapunov functions for investigating stability properties of a fractional-order computer virus propagation model
type: Item
instance of: scholarly article
title: Lyapunov functions for investigating stability properties of a fractional-order computer virus propagation model
zbMATH Open document ID: 1477.34071
author: Manh Tuan Hoang
published in: Qualitative Theory of Dynamical Systems
publication date: 2021-09-07T00:00:00Z
Mathematics Subject Classification ID: 34C60
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34C05
Mathematics Subject Classification ID: 34D20
zbMATH DE Number: 7391782
zbMATH Keywords: computer virus propagation models
zbMATH Keywords: fractional differential equations
zbMATH Keywords: Caputo derivative
zbMATH Keywords: stability analysis
zbMATH Keywords: Lyapunov functions
MaRDI profile type: Publication
full work available at URL: s12346-021-00516-3
OpenAlex ID: W3196212766
cites work: On fractional derivatives with exponential kernel and their discrete versions
cites work: Stability of Caputo fractional differential equations by Lyapunov functions.
cites work: Lyapunov functions for fractional order systems
cites work: Analysis of a fractional SEIR model with treatment
cites work: Fractional calculus. Models and numerical methods
cites work: Fractional calculus in the sky
cites work: Exponential quasi-synchronization of conformable fractional-order complex dynamical networks
cites work: Three types of matrix stability
cites work: Positivity and global stability preserving NSFD schemes for a mixing propagation model of computer viruses
cites work: The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
cites work: Using general quadratic Lyapunov functions to prove Lyapunov uniform stability for fractional order systems
cites work: Classes of operators in fractional calculus: A case study
cites work: An epidemic model of computer viruses with vaccination and generalized nonlinear incidence rate
cites work: Numerical solution of fractional differential equations: a survey and a software tutorial
cites work: On the global asymptotic stability of a predator-prey model with Crowley-Martin function and stage structure for prey
cites work: Uniform asymptotic stability of a logistic model with feedback control of fractional order and nonstandard finite difference schemes
cites work: Stability analysis of a computer virus model in latent period
cites work: Nonlinear systems.
cites work: Stability analysis of a fractional order model for the HIV/AIDS epidemic in a patchy environment
cites work: Lyapunov functions and global stability for \(SIR\) and \(SIRS\) epidemiological models with non-linear transmission
cites work: Stability by Liapunov's direct method. With applications
cites work: Q3138769
cites work: Mittag-Leffler stability of fractional order nonlinear dynamic systems
cites work: Stability of fractional-order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag-Leffler stability
cites work: Fractional dynamical system and its linearization theorem
cites work: Global existence theory and chaos control of fractional differential equations
cites work: Generalized Taylor's formula
cites work: Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
cites work: A modified epidemiological model for computer viruses
cites work: A compartmental model for computer virus propagation with kill signals
cites work: A fractional epidemiological model for computer viruses pertaining to a new fractional derivative
cites work: Q4003793
cites work: A new collection of real world applications of fractional calculus in science and engineering
cites work: Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
cites work: Volterra-type Lyapunov functions for fractional-order epidemic systems
cites work: Correction: FRACTIONAL ORDER BARBALAT’S LEMMA AND ITS APPLICATIONS IN THE STABILITY OF FRACTIONAL ORDER NONLINEAR SYSTEMS
cites work: Exponential ultimate boundedness of non-autonomous fractional differential systems with time delay and impulses
cites work: Quasi-synchronization analysis for fractional-order delayed complex dynamical networks
cites work: A computer virus model with graded cure rates
cites work: A novel computer virus propagation model and its dynamics
cites work: A new epidemic model of computer viruses
cites work: Stability of a fractional order SEIR model with general incidence
DOI: 10.1007/S12346-021-00516-3
description: scientific article; zbMATH DE number 7391782