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A stochastic SIR epidemic on scale-free network with community structure

Author

Listed:
  • Zhang, Huiling
  • Guan, Zhi-Hong
  • Li, Tao
  • Zhang, Xian-He
  • Zhang, Ding-Xue

Abstract

The scale-free degree distribution and community structure are two significant properties shared by numerous complex networks. In this paper, we investigate the impact of these properties on a stochastic SIR epidemic which incorporates the stochastic nature of epidemic spreading. A two-type branching process is employed to approximate the early stage of epidemic spreading. The basic reproduction number R0 is obtained. And the influences of scale-free property and community structure on R0 are analyzed by numerical simulations.

Suggested Citation

  • Zhang, Huiling & Guan, Zhi-Hong & Li, Tao & Zhang, Xian-He & Zhang, Ding-Xue, 2013. "A stochastic SIR epidemic on scale-free network with community structure," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(4), pages 974-981.
    • Handle: RePEc:eee:phsmap:v:392:y:2013:i:4:p:974-981
    DOI: 10.1016/j.physa.2012.10.016
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    Citations

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    Cited by:

    1. Huang, Yunhan & Ding, Li & Feng, Yun, 2016. "A novel epidemic spreading model with decreasing infection rate based on infection times," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 444(C), pages 1041-1048.
    2. Wang, Jingbei & Yang, Naiding & Zhang, Yanlu & Song, Yue, 2019. "Modeling and simulation of the cascading failure of R&D network considering the community structure," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 522(C), pages 43-53.
    3. Liu, Yun & Diao, Su-Meng & Zhu, Yi-Xiang & Liu, Qing, 2016. "SHIR competitive information diffusion model for online social media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 461(C), pages 543-553.
    4. Kabir, KM Ariful & Kuga, Kazuki & Tanimoto, Jun, 2020. "The impact of information spreading on epidemic vaccination game dynamics in a heterogeneous complex network- A theoretical approach," Chaos, Solitons & Fractals, Elsevier, vol. 132(C).
    5. Jia, Nan & Ding, Li & Liu, Yu-Jing & Hu, Ping, 2018. "Global stability and optimal control of epidemic spreading on multiplex networks with nonlinear mutual interaction," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 502(C), pages 93-105.

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