Abstract
This paper proposes a new virus spreading model, susceptible–infected–susceptible–recovered–susceptible, which is based on partial immunization and immune invalidity in a complex network. On the basis of mean-field theory, the epidemic dynamics behavior of this model in a uniform network and a scale-free network is studied. After modifying the formula for the effective spread rate, we obtain the theoretical result that the coexistence of partial immunization and immune failure does not affect the network spread threshold. At the same time, the experimental results show that the existence of the above two conditions greatly increases the spread of the virus and extends the diffusion range. The study also found that in the scale-free network, peak viral infection occurs at the beginning of the spreading process, and after the immunization strategy is applied, the early infection peak is effectively curbed.
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Acknowledgements
This paper is supported by the National Natural Science Foundation of China (Grant Nos. 61671202, 61573128, 61273170), the National Key Research and Development Program of China (Grant No. 2016YFC0401606) and the Fundamental Research Funds for the Central Universities of Ministry of Education of China (Grant No. 2015B25214). This study was funded by Xuewu Zhang (Grant Nos. 61671202, 61573128, 61273170, 2016YFC0401606, 2015B25214).
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Zhang, X., Wu, J., Zhao, P. et al. Epidemic spreading on a complex network with partial immunization. Soft Comput 22, 4525–4533 (2018). https://doi.org/10.1007/s00500-017-2903-1
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DOI: https://doi.org/10.1007/s00500-017-2903-1