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“去二存一”混合機制下的病毒擴散模型及穩(wěn)定性分析

王剛,  陸世偉,  胡鑫,  馬潤年

王剛, 陸世偉, 胡鑫, 馬潤年. “去二存一”混合機制下的病毒擴散模型及穩(wěn)定性分析[J]. 電子與信息學(xué)報, 2019, 41(3): 709-716. doi: 10.11999/JEIT180381
引用本文: 王剛, 陸世偉, 胡鑫, 馬潤年. “去二存一”混合機制下的病毒擴散模型及穩(wěn)定性分析[J]. 電子與信息學(xué)報, 2019, 41(3): 709-716. doi: 10.11999/JEIT180381
Gang WANG, Shiwei LU, Xin HU, Runnian MA. Virus Propagation Model and Stability Under the Hybrid Mechanism of “Two-go and One-live”[J]. Journal of Electronics & Information Technology, 2019, 41(3): 709-716. doi: 10.11999/JEIT180381
Citation: Gang WANG, Shiwei LU, Xin HU, Runnian MA. Virus Propagation Model and Stability Under the Hybrid Mechanism of “Two-go and One-live”[J]. Journal of Electronics & Information Technology, 2019, 41(3): 709-716. doi: 10.11999/JEIT180381

“去二存一”混合機制下的病毒擴散模型及穩(wěn)定性分析

doi: 10.11999/JEIT180381

  • 空軍工程大學(xué)信息與導(dǎo)航學(xué)院 ??西安 ??710077

基金項目: 國家自然科學(xué)基金(61573017, 61703420)
詳細(xì)信息
    作者簡介:

    王剛：男，1976年生，博士，教授，碩士生導(dǎo)師，主要研究方向為網(wǎng)絡(luò)空間安全和復(fù)雜網(wǎng)絡(luò)

    陸世偉：男，1995年生，碩士生，研究方向為網(wǎng)絡(luò)空間安全

    胡鑫：男，1993年生，碩士生，研究方向為網(wǎng)絡(luò)空間安全

    通訊作者:

    王剛　wglxl@nudt.edu.cn

  • 中圖分類號: TP393.08

Virus Propagation Model and Stability Under the Hybrid Mechanism of “Two-go and One-live”

  • Institute of Information and Navigation, Air Force Engineering University, Xi’an 710077, China

Funds: The National Science Foundation of China (61573017, 61703420)
  • 摘要:

    隨著網(wǎng)絡(luò)信息系統(tǒng)的發(fā)展，網(wǎng)絡(luò)病毒擴散方式及免疫策略成為網(wǎng)絡(luò)安全領(lǐng)域研究的熱點之一。該文研究了一類新型混合攻擊病毒，并根據(jù)其特點將這類病毒定義為“去二存一”型病毒。通過分析新型病毒的攻擊方式，構(gòu)建了“去二存一”混合機制下病毒的SEIQRS信息擴散模型。在此基礎(chǔ)上，求解對應(yīng)系統(tǒng)的平衡點，并運用Routh-Hurwitz判據(jù)分析了系統(tǒng)基本再生數(shù)R0及其對系統(tǒng)穩(wěn)定性的影響。最后，仿真驗證了模型的有效性和穩(wěn)定性。

    Abstract:

    With the development of network information system, virus propagation and immunization strategy become one of the hot topics in the field of network security. In this paper, a new virus with hybrid attacking is introduced, which can attack network in two modes. One is to attack and infect the network nodes directly, and the another is to hide itself in the nodes by hiding its viral characteristic. According to its characteristics, this type of virus is defined as " Two-go and One-live” and the corresponding virus propagation model is established. Moreover, the stability of the system is studied by solving the equilibrium points and analyzing the basic reproduction number R0. Numerical simulations are presented to verify effectiveness and stability of the novel model.

    • HTML全文

  • 圖  1  “去二存一”混合機制下的SEIQRS病毒擴散模型

    圖  2  k=5和k=10時各狀態(tài)節(jié)點數(shù)量

    圖  3  不同k值下I(t)隨時間的變化

    圖  4  $\alpha = 0.01$和$\alpha = 0.10$時各狀態(tài)節(jié)點數(shù)量

    圖  5  不同$\alpha $值下I(t)隨時間的變化

    圖  6  $\beta = 0.1$和$\beta = 0.5$時各狀態(tài)節(jié)點數(shù)量

    圖  7  不同$\beta $值下I(t)隨時間的變化

    圖  8  $\sigma = 0.3$和$\sigma = 1.2$時的各狀態(tài)節(jié)點數(shù)量

    圖  9  不同$\sigma $值下I(t)隨時間的變化

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出版歷程
  • 收稿日期:  2018-04-25
  • 修回日期:  2018-09-13
  • 網(wǎng)絡(luò)出版日期:  2018-09-25
  • 刊出日期:  2019-03-01

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