Dynamical analysis of two fractional-order SIQRA malware propagation models and their discretizations

DOI10.1007/S12215-021-00707-6OpenAlexW4205137162MaRDI QIDQ2687434

Manh Tuan Hoang

Publication date: 2 March 2023

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-021-00707-6

zbMATH Keywords

asymptotic stabilityLyapunov functionsfractional differential equationsfractional Euler methodmalware propagation models

Mathematics Subject Classification ID

Epidemiology (92D30) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Stability of solutions to ordinary differential equations (34D20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05) Fractional ordinary differential equations (34A08)

Related Items (2)

Dynamically consistent nonstandard numerical schemes for solving some computer virus and malware propagation models ⋮ Mild solutions for impulsive fractional differential inclusions with Hilfer derivative in Banach spaces

Cites Work

• Unnamed Item
• A novel computer virus model and its dynamics
• Stability analysis of Caputo fractional-order nonlinear systems revisited
• Generalized Taylor's formula
• Global existence theory and chaos control of fractional differential equations
• Basic theory of fractional differential equations
• Mittag-Leffler stability of fractional order nonlinear dynamic systems
• Stability of fractional-order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag-Leffler stability
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• A modified epidemiological model for computer viruses
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Stability analysis of a fractional order model for the HIV/AIDS epidemic in a patchy environment
• Dynamical analysis of a fractional-order Rosenzweig-MacArthur model incorporating a prey refuge
• Analysis of a fractional SEIR model with treatment
• SIRA computer viruses propagation model: mortality and robustness
• A computer virus model with graded cure rates
• A fractional order SIR epidemic model for dengue transmission
• Uniform asymptotic stability of a logistic model with feedback control of fractional order and nonstandard finite difference schemes
• Numerical solution of a modified epidemiological model for computer viruses
• Volterra-type Lyapunov functions for fractional-order epidemic systems
• A new epidemic model of computer viruses
• Lyapunov functions for fractional order systems
• Positivity and global stability preserving NSFD schemes for a mixing propagation model of computer viruses
• Uniform asymptotic stability of a fractional tuberculosis model
• The Finite Difference Methods for Fractional Ordinary Differential Equations
• Correction: FRACTIONAL ORDER BARBALAT’S LEMMA AND ITS APPLICATIONS IN THE STABILITY OF FRACTIONAL ORDER NONLINEAR SYSTEMS

This page was built for publication: Dynamical analysis of two fractional-order SIQRA malware propagation models and their discretizations