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Volume 41 Issue 3
Mar.  2019
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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

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

doi: 10.11999/JEIT180381
Funds:  The National Science Foundation of China (61573017, 61703420)
  • Received Date: 2018-04-25
  • Rev Recd Date: 2018-09-13
  • Available Online: 2018-09-25
  • Publish Date: 2019-03-01
  • 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.

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  • 张书奎, 崔志明, 龚声蓉, 等. 传感器网络病毒感染传播局域控制研究[J]. 电子学报, 2009, 37(4): 877–883. doi: 10.3321/j.issn:0372-2112.2009.04.038

    ZHANG Shukui, CUI Zhiming, GONG Shengrong, et al. An investigation on local area control of compromised nodes spreading in wireless sensor networks[J]. Acta Electronica Sinica, 2009, 37(4): 877–883. doi: 10.3321/j.issn:0372-2112.2009.04.038
    王田, 吴群, 文晟, 等. 无线传感网中移动式蠕虫的抑制与清理[J]. 电子与信息学报, 2016, 38(9): 2202–2207. doi: 10.11999/JEIT151311

    WANG Tian, WU Qun, WEN Sheng, et al. The inhibition and clearup of the mobile worm in wireless sensor networks[J]. Journal of Electronics &Information Technology, 2016, 38(9): 2202–2207. doi: 10.11999/JEIT151311
    E安全. 黑客战术三十六计之" 声东击西”[OL]. https://www.easyaq.com/news/1538639872.shtml, 2017, 11.
    ZHANG Zizhen and BI Dianjie. Bifurcation analysis in a delayed computer virus model with the effect of external computers[J]. Advances in Difference Equations, 2015, 2015(1): 317–330. doi: 10.1186/s13662-015-0652-y
    VALDEZ J, GUEVARA P, and AUDELO J. Numerical approaching of SIR epidemic model for propagation of computer worms[J]. IEEE Latin America Transactions, 2015, 13(10): 3452–3460. doi: 10.1109/TLA.2015.7387254
    QU Bo and WANG Huijuan. SIS epidemic spreading with correlated heterogeneous infection rates[J]. Physica A: Statistical Mechanics and its Applications, 2017, 472(1): 13–24.
    TANG Qian and TENG Zhidong. A new Lyapunov function for SIRS epidemic models[J]. Bulletin of the Malaysian Mathematical Sciences Society, 2017, 40(1): 237–258. doi: 10.1007/s40840-016-0315-5
    顾海俊, 蒋国平, 夏玲玲. 基于状态概率转移的SIRS病毒传播模型及其临界值分析[J]. 计算机科学, 2016, 43(6): 64–67. doi: 10.11896/j.issn.1002-137X.2016.6A.014

    GU Haijun, JIANG Guoping, and XIA Lingling. SIRS epidemic model and its threshold based on state transition probability[J]. Computer Science, 2016, 43(6): 64–67. doi: 10.11896/j.issn.1002-137X.2016.6A.014
    YANG Luxing and YANG Xiaofan. The impact of nonlinear infection rate on the spread of computer virus[J]. Nonlinear Dynamics, 2015, 82(2): 85–95.
    关治洪, 亓玉娟, 姜晓伟, 等. 基于复杂网络的病毒传播模型及其稳定性[J]. 华中科技大学学报, 2011, 39(1): 114–117.

    GUAN Zhihong, QI Yujuan, JIANG Xiaowei, et al. Virus propagation dynamic model and stability on complex network[J]. Journal Huazhong University of science &Technology, 2011, 39(1): 114–117.
    XU Degang, XU Xiyang, XIE Yongfang, et al. Optimal control of an SIVRS epidemic spreading model with virus variation based on complex networks[J]. Communications in Nonlinear Science and Numerical Simulation, 2017, 48(1): 200–210.
    KHANH G H and HUY N B. Stability analysis of a computer virus propagation model with antidote in vulnerable system[J]. Acta Mathematica Scientia, 2016, 36(1): 49–61. doi: 10.1016/S0252-9602(15)30077-1
    WANG Xu, NI Wei, ZHENG Kangfeng, et al. Virus propagation modeling and convergence analysis in large scale networks[J]. IEEE Transactions on Information Forensics and Security, 2016, 11(10): 2241–2254. doi: 10.1109/TIFS.2016.2581305
    TIAN Daxin, LIU Chao, SHENG Zhengguo, et al. Analytical model of spread of epidemics in open finite regions[J]. IEEE Access, 2017, 5(2): 9673–9681.
    LIU Siyu, JIN Jiyu, and WANG Zhisen. Influence of node mobility on virus spreading behaviors in multi-hop network[J]. EURASIP Journal on Wireless Communications and Networking, 2016, 2016(1): 172–182. doi: 10.1186/s13638-016-0667-4
    ZHANG Chunming and HUANG Haitao. Optimal control strategy for a novel computer virus propagation model on scale-free networks[J]. Physica A: Statistical Mechanics and Its Applications, 2016, 451(1): 251–265.
    HAN Dun, SUN Mei, and LI Dandan. The virus variation model by considering the degree-dependent spreading rate[J]. Physica A: Statistical Mechanics and Its Applications, 2015, 433(1): 42–50.
    XU Qichao, SU Zhou, and YANG Kan. Optimal control theory based epidemic information spreading scheme for mobile social users with energy constraint[J]. IEEE Access, 2017, 5(1): 3536–3547.
    王小娟, 宋梅, 郭世泽, 等. 基于有向渗流理论的关联微博转发网络信息传播研究[J]. 物理学报, 2015, 64(4): 4502–4510. doi: 10.7498/aps.64.044502

    WANG Xiaojuan, SONG Mei, GUO Shize, et al. Information spreading in correlated microblog reposting network based on directed percolation theory[J]. Acta Physica Sinica, 2015, 64(4): 4502–4510. doi: 10.7498/aps.64.044502
    LI Ming and WANG Binghong. Percolation on networks with dependence links[J]. Chinese Physics B, 2014, 23(7): 6402–6411.
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