离散分形计算机病毒中内部和外部存储设备效应的建模和定性动态分析

IF 1.9 3区 数学 Q1 MATHEMATICS
R. Dhineshbabu, J. Alzabut, A. G. M. Selvam, S. Etemad, S. Rezapour
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引用次数: 0

摘要

在这项工作中,我们侧重于将流行病学方法应用于计算机病毒,研究多种病毒的动态传播,旨在减少计算机破坏。我们的目标是利用阿坦加纳-巴莱亚努感(Atangana-Baleanu sense)来创建和研究计算机病毒,计算机病毒传播的分数差模型中采用了这种感。其中包括感染计算机病毒的可移动存储设备和外部计算机外设。我们应用定点理论和迭代技术分析了建议模型的存在性和唯一性结果。此外,我们还为这一离散模型扩展了几种乌拉姆稳定性结果。为了证明在数值模拟中改变分数阶数的影响,我们采用了 Atanagana-Baleanu 技术。图形结果验证了我们的理论发现,我们用这些结果来评估受感染的外部计算机和可移动存储设备对计算机病毒的影响。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

Modeling and Qualitative Dynamics of the Effects of Internal and External Storage device in a Discrete Fractional Computer Virus

Modeling and Qualitative Dynamics of the Effects of Internal and External Storage device in a Discrete Fractional Computer Virus

In this work, we focus on the application of epidemic approaches to computer viruses and investigate the dynamic transmission of multiple viruses, aiming to reduce computer destruction. Our goal is to create and examine computer viruses using the Atangana-Baleanu sense, which is employed in the fractional difference model for the spread of computer viruses. It included removable storage devices and external computer peripherals that were infected with computer viruses. The applications of fixed-point theory and iterative techniques are employed to analyze the existence and uniqueness results concerning the suggested model. Moreover, we extend several kinds of Ulam’s stability results for this discrete model. To demonstrate the implications of changing the fractional order in this instance of numerical simulation, we employed the Atanagana–Baleanu technique. The graphical outcomes validate our theoretical findings, which we used to evaluate the impact of infected external computers and removable storage devices on computer viruses.

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来源期刊
Qualitative Theory of Dynamical Systems
Qualitative Theory of Dynamical Systems MATHEMATICS, APPLIED-MATHEMATICS
CiteScore
2.50
自引率
14.30%
发文量
130
期刊介绍: Qualitative Theory of Dynamical Systems (QTDS) publishes high-quality peer-reviewed research articles on the theory and applications of discrete and continuous dynamical systems. The journal addresses mathematicians as well as engineers, physicists, and other scientists who use dynamical systems as valuable research tools. The journal is not interested in numerical results, except if these illustrate theoretical results previously proved.
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