| 引用本文: | 庄乾辉,肖敏,王赫,邱建龙,梁金玲,蒋海军.时滞和扩散驱动下信息物理融合系统恶意病毒传播动力学[J].控制理论与应用,2022,39(8):1407~1415.[点击复制] |
| ZHUANG Qian-hui,XIAO Min,WANG He,QIU Jian-long,LIANG Jin-ling,JIANG Hai-jun.Dynamics of malicious virus propagation in cyber physical systems driven by time-delay and diffusion[J].Control Theory and Technology,2022,39(8):1407~1415.[点击复制] |
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| 时滞和扩散驱动下信息物理融合系统恶意病毒传播动力学 |
| Dynamics of malicious virus propagation in cyber physical systems driven by time-delay and diffusion |
| 摘要点击 1566 全文点击 559 投稿时间：2022-01-17 修订日期：2022-09-11 |
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| DOI编号 10.7641/CTA.2022.20046 |
| 2022,39(8):1407-1415 |
| 中文关键词 反应扩散效应 信息物理融合系统 恶意病毒 基本再生数 图灵不稳定 Hopf分岔 |
| 英文关键词 reaction-diffusion effect cyber physical systems malicious virus basic reproduction number Turing instability Hopf bifurcation |
| 基金项目 国家自然科学基金项目(62073172, U1703262, 61573194), 工业控制技术国家重点实验室开放课题(ICT2022B43)资助. |
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| 中文摘要 |
| 本文提出了信息物理融合系统(CPS)中具有反应扩散效应的时滞恶意病毒传播模型, 研究了恶意病毒传播
的空间格局动态演化机制, 为恶意病毒在信息物理融合系统中预测和控制提供了战略指导. 给出了模型的基本再
生产数, 并分析了空间中无病毒平衡点和地方病毒平衡点的存在性. 在无时滞条件下建立了扩散引发的图灵不稳
定条件; 在有时滞条件下得到了时滞依赖的稳定性条件和Hopf分岔判据. 最后, 通过数值仿真验证了理论分析的正
确性. |
| 英文摘要 |
| In this paper, a time-delay malicious virus propagation model with reaction-diffusion effect in cyber physical
systems (CPS) is proposed, and the spatial pattern dynamic evolution mechanism of malicious virus propagation is studied,
which provides a strategic guidance for the prediction and control of malicious virus in cyber physical systems. The basic
reproduction number of the reaction-diffusion model is given, and the existence of virus-free equilibrium and local virus
equilibrium in space is analyzed. The Turing instability condition caused by diffusion is established without time delay.
The delay dependent stability condition and the Hopf bifurcation criterion are obtained. Finally, the correctness of the
theoretical analysis is verified by numerical simulations. |
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