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Influence of dynamic immunization on epidemic spreading in networks

Author

Listed:
  • Wu, Qingchu
  • Fu, Xinchu
  • Jin, Zhen
  • Small, Michael

Abstract

We introduce a new dynamic immunization method based on the static immunization algorithm and study the relationship between dynamic and static immunization. By nodes to be immunized according to static immunization strategies, we build a connection between dynamic and static immunization. Using theoretical arguments and computational simulation we show that dynamic immunization (from a finite vaccine reservoir) is not sufficient to prevent epidemic outbreak, nor does it significantly change the asymptotic prevalence. Nonetheless, we do find that less total vaccine is required to implement this strategy. To help understand this better, we examine the extent and distribution of dynamic immunization required to achieve this reduced vaccine demand. Our results suggest that it is not necessary to increase the immunization rate when the infection rate is relatively small.

Suggested Citation

  • Wu, Qingchu & Fu, Xinchu & Jin, Zhen & Small, Michael, 2015. "Influence of dynamic immunization on epidemic spreading in networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 419(C), pages 566-574.
    • Handle: RePEc:eee:phsmap:v:419:y:2015:i:c:p:566-574
    DOI: 10.1016/j.physa.2014.10.033
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    References listed on IDEAS

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    1. González, M.C & Herrmann, H.J, 2004. "Scaling of the propagation of epidemics in a system of mobile agents," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 340(4), pages 741-748.
    2. Tsimring, Lev S & Huerta, Ramón, 2003. "Modeling of contact tracing in social networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 325(1), pages 33-39.
    3. Wu, Qingchu & Liu, Huaxiang & Small, Michael, 2013. "Dynamical diversity induced by individual responsive immunization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(12), pages 2792-2802.
    4. X. Li & L. Cao & G. F. Cao, 2010. "Epidemic prevalence on random mobile dynamical networks: individual heterogeneity and correlation," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 75(3), pages 319-326, June.
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    Cited by:

    1. Yang, Dingda & Liao, Xiangwen & Shen, Huawei & Cheng, Xueqi & Chen, Guolong, 2018. "Dynamic node immunization for restraint of harmful information diffusion in social networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 503(C), pages 640-649.
    2. Wu, Qingchu & Fu, Xinchu, 2016. "Immunization and epidemic threshold of an SIS model in complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 444(C), pages 576-581.
    3. Xia, Ling-Ling & Song, Yu-Rong & Li, Chan-Chan & Jiang, Guo-Ping, 2018. "Improved targeted immunization strategies based on two rounds of selection," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 496(C), pages 540-547.
    4. Xu, Degang & Xu, Xiyang & Yang, Chunhua & Gui, Weihua, 2017. "Spreading dynamics and synchronization behavior of periodic diseases on complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 466(C), pages 544-551.

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