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Spreading dynamics and synchronization behavior of periodic diseases on complex networks

Author

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  • Xu, Degang
  • Xu, Xiyang
  • Yang, Chunhua
  • Gui, Weihua

Abstract

A new discrete-susceptible–infected–recovered–susceptible (DSIRS) model is introduced in this paper to investigate the disease spreading dynamics and synchronization behavior on complex networks. In the model, every node is considered independently rather than as a part of one group that has a common node state in complex networks. The synchronization phenomenon of epidemic spreading based on the model in random networks and scale-free networks is analyzed. Synchronization is affected by the infection duration, the complete cycle duration and the topological network structure, which affects the immune strategy. Accordingly, immune strategies including the maximum degree immune strategy and the nearest immune strategy are proposed to prevent disease propagating.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:466:y:2017:i:c:p:544-551
    DOI: 10.1016/j.physa.2016.09.047
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    References listed on IDEAS

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    1. Bellingeri, Michele & Cassi, Davide & Vincenzi, Simone, 2014. "Efficiency of attack strategies on complex model and real-world networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 414(C), pages 174-180.
    2. Ababou, M. & Vandewalle, N. & Moussa, N. & El Bouziani, M. & Ludewig, F., 2011. "Epidemic spreading in a finite-precision BA model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(20), pages 3573-3578.
    3. Wang, Yi & Cao, Jinde & Alofi, Abdulaziz & AL-Mazrooei, Abdullah & Elaiw, Ahmed, 2015. "Revisiting node-based SIR models in complex networks with degree correlations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 437(C), pages 75-88.
    4. Jeremy Hadidjojo & Siew Ann Cheong, 2011. "Equal Graph Partitioning on Estimated Infection Network as an Effective Epidemic Mitigation Measure," PLOS ONE, Public Library of Science, vol. 6(7), pages 1-10, July.
    5. Juang, Jonq & Liang, Yu-Hao, 2015. "Analysis of a general SIS model with infective vectors on the complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 437(C), pages 382-395.
    6. Ababou, M. & Vandewalle, N. & Moussa, N. & El Bouziani, M. & Ludewig, F., 2013. "Spreading of periodic diseases and synchronization phenomena on networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(10), pages 2526-2531.
    7. 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.
    8. Zhao, Zhuang & Zhang, Peng & Yang, Hujiang, 2015. "Cascading failures in interconnected networks with dynamical redistribution of loads," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 433(C), pages 204-210.
    9. 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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