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The SIS diffusion process in complex networks with independent spreaders

Author

Listed:
  • Ding, Qin
  • Li, Weihua
  • Hu, Xiangming
  • Zheng, Zhiming
  • Tang, Shaoting

Abstract

The dynamical process of epidemics has been a widely discussed topic in the study of complex networks and public health. While previous literature has focused mostly on the strict link-contagion through individual connections, the complex system in which diffusion dynamics takes place usually has many latent relations that could foster the spread process. Here we account for this phenomenon by investigating the epidemic SIS (Susceptible–Infected–Susceptible) with participation of independent spreaders. We derive the theoretical expressions of the dynamical systems and obtain the critical threshold of extensive diffusion, in both homogeneous and heterogeneous networks. We also perform a range of computational simulations, and show that the role independent spreaders play in such scenarios is huge by infecting remote areas in the network.

Suggested Citation

  • Ding, Qin & Li, Weihua & Hu, Xiangming & Zheng, Zhiming & Tang, Shaoting, 2020. "The SIS diffusion process in complex networks with independent spreaders," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 546(C).
    • Handle: RePEc:eee:phsmap:v:546:y:2020:i:c:s0378437119316565
    DOI: 10.1016/j.physa.2019.122921
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    References listed on IDEAS

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    1. Guo, Wenjuan & Cai, Yongli & Zhang, Qimin & Wang, Weiming, 2018. "Stochastic persistence and stationary distribution in an SIS epidemic model with media coverage," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 492(C), pages 2220-2236.
    2. Peng Bao & Hua-Wei Shen & Wei Chen & Xue-Qi Cheng, 2013. "Cumulative Effect in Information Diffusion: Empirical Study on a Microblogging Network," PLOS ONE, Public Library of Science, vol. 8(10), pages 1-7, October.
    3. Li, Weihua & Tang, Shaoting & Pei, Sen & Yan, Shu & Jiang, Shijin & Teng, Xian & Zheng, Zhiming, 2014. "The rumor diffusion process with emerging independent spreaders in complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 397(C), pages 121-128.
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