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Epidemic spreading over quenched networks with local behavioral response

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  • Wu, Qingchu
  • Chen, Shufang
  • Zha, Lingling

Abstract

We discuss the impact of local information-based behavioral response on epidemic spreading in social networks. By using a pair quenched mean-field approach developed by Mata and Ferreira [Europhys. Lett. 103 (2013) 48003], we derive a dynamical model governing the epidemic spreading over a random network with a linear response function and density-dependent epidemic information. A deterministic relation between the epidemic threshold and the response parameter is derived according to a quasi-static approximation method. It is found that local behavioral response will induce the extinction of the disease via rasing the epidemic threshold. Additionally, the theoretical result is supported by stochastic simulations on an Erdo¨s–Rényi random network and a Baraba´si–Albert scale-free network. Simulations show that the pair quenched mean-field approach is more accurate than the classical quenched mean-field approach.

Suggested Citation

  • Wu, Qingchu & Chen, Shufang & Zha, Lingling, 2017. "Epidemic spreading over quenched networks with local behavioral response," Chaos, Solitons & Fractals, Elsevier, vol. 96(C), pages 17-22.
    • Handle: RePEc:eee:chsofr:v:96:y:2017:i:c:p:17-22
    DOI: 10.1016/j.chaos.2017.01.003
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    References listed on IDEAS

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    1. Liu, Yang & Wei, Bo & Du, Yuxian & Xiao, Fuyuan & Deng, Yong, 2016. "Identifying influential spreaders by weight degree centrality in complex networks," Chaos, Solitons & Fractals, Elsevier, vol. 86(C), pages 1-7.
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    Cited by:

    1. Zhou, Rong & Wu, Qingchu, 2019. "Epidemic spreading dynamics on complex networks with adaptive social-support," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 778-787.
    2. Xiaoyang Liu & Chao Liu & Xiaoping Zeng, 2017. "Online Social Network Emergency Public Event Information Propagation and Nonlinear Mathematical Modeling," Complexity, Hindawi, vol. 2017, pages 1-7, June.
    3. Zhu, Yu-Xiao & Cao, Yan-Yan & Chen, Ting & Qiu, Xiao-Yan & Wang, Wei & Hou, Rui, 2018. "Crossover phenomena in growth pattern of social contagions with restricted contact," Chaos, Solitons & Fractals, Elsevier, vol. 114(C), pages 408-414.
    4. Wu, Qingchu & Zhou, Rong & Hadzibeganovic, Tarik, 2019. "Conditional quenched mean-field approach for recurrent-state epidemic dynamics in complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 518(C), pages 71-79.

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