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An immunization based on node activity

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  • Nian, Fuzhong
  • Hu, Chasheng
  • Yao, Shuanglong
  • Wang, Longjing
  • Wang, Xingyuan

Abstract

In this paper, a standard susceptible-infected-recovered-susceptible (SIRS) epidemic model based on the dynamic network model is established. The dynamic network based on the Barabasi–Albert (BA) scale-free network model is constructed, keeping the same total number of edges, adding and deleting edges are operated according to the corresponding node activity level. These operations also can change the node activity. At the same time, a new immunization scheme - “immunization based on node activity” is proposed, in which the nodes with most active be immunized firstly. The propagation situations of random immunization, immunization based on node activity and high-risk immunization are investigated, the influence of some parameters on the density of infected individuals is also analyzed in detail. When the number of immunization nodes is the same, the results show that the effect of immunization based on node activity is the best. Therefore, immunization based on node activity is effective, and it is more feasible in dynamic network.

Suggested Citation

  • Nian, Fuzhong & Hu, Chasheng & Yao, Shuanglong & Wang, Longjing & Wang, Xingyuan, 2018. "An immunization based on node activity," Chaos, Solitons & Fractals, Elsevier, vol. 107(C), pages 228-233.
    • Handle: RePEc:eee:chsofr:v:107:y:2018:i:c:p:228-233
    DOI: 10.1016/j.chaos.2018.01.013
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    References listed on IDEAS

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    1. Teruyoshi Kobayashi & Kohei Hasui, 2013. "Efficient immunization strategies to prevent financial contagion," Papers 1308.0652, arXiv.org, revised Dec 2013.
    2. Chu, Xiangwei & Zhang, Zhongzhi & Guan, Jihong & Zhou, Shuigeng, 2011. "Epidemic spreading with nonlinear infectivity in weighted scale-free networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(3), pages 471-481.
    3. Bate, Andrew M. & Jones, Glyn & Kleczkowski, Adam & MacLeod, Alan & Naylor, Rebecca & Timmis, Jon & Touza, Julia & White, Piran C.L., 2016. "Modelling the impact and control of an infectious disease in a plant nursery with infected plant material inputs," Ecological Modelling, Elsevier, vol. 334(C), pages 27-43.
    4. Xu, Rui, 2012. "Global dynamics of an SEIS epidemiological model with time delay describing a latent period," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 85(C), pages 90-102.
    5. Yang, Han-Xin & Wang, Bing-Hong, 2016. "Immunization of traffic-driven epidemic spreading," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 443(C), pages 86-90.
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    Cited by:

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    4. Wang, Lei & Li, Shouwei & Chen, Tingqiang, 2019. "Investor behavior, information disclosure strategy and counterparty credit risk contagion," Chaos, Solitons & Fractals, Elsevier, vol. 119(C), pages 37-49.

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