二次算子生成的网络蠕虫传播的离散时间模型

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-03-21 DOI:10.3846/mma.2023.15999

F. Adilova, U. Jamilov, A. Reinfelds

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引用次数: 0

摘要

本文基于二次随机算子理论，研究由网络蠕虫传播模型产生的离散时间动力系统。这种方法同时解决了两个重要问题:研究了QSO轨迹的行为，描述了极限点的集合，从而彻底解决了动力系统的主要问题(i)。我们展示了QSO理论在蠕虫传播建模中的新应用(ii)。我们证明了所提出的离散时间生物启发模型也反映了蠕虫传播过程的真实情况，这种分析模型可以用于计算机网络的一些问题的决策。

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On discrete-Time Models of Network Worm Propagation Generated by quadratic operators

In this paper we consider the discrete-time dynamical systems generated by network worm propagation models based on the theory of quadratic stochastic operators(QSO). This approach simultaneously solves two important problems: exploring of the QSO trajectory‘s behavior, we described the set of limit points, thereby completely solved the main problem of dynamical systems (i), we showed a new application of the theory QSOs in worm propagation modelling (ii). We demonstrated that proposed discrete-time biologically-inspired model represents also realistic picture of the worm propagation process and such analytical models can be used in decision of some problems of computer networks.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.