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Epidemic spreading with awareness on multi-layer activity-driven networks

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  • Jia, Mengqi
  • Li, Xin
  • Ding, Li

Abstract

Network structure plays an important role in epidemic spreading process. In this paper, we propose a susceptible–alert–infected–susceptible epidemic spreading model based on coupled activity-driven networks. The critical conditions for epidemic outbreaks are analyzed based on the proposed model. The explicit expressions of the critical conditions are obtained, which are determined by the multi-layer activity-driven network structure associated with propagation parameters. We also analyze the influence of network structure and propagation parameters on the epidemic outbreak critical condition, which may shed some lights on the control of the epidemic spreading in future. The correctness of the theoretical results is corroborated by Monte Carlo simulations.

Suggested Citation

  • Jia, Mengqi & Li, Xin & Ding, Li, 2021. "Epidemic spreading with awareness on multi-layer activity-driven networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 579(C).
    • Handle: RePEc:eee:phsmap:v:579:y:2021:i:c:s0378437121003927
    DOI: 10.1016/j.physa.2021.126119
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    References listed on IDEAS

    as
    1. Li Ding & Ping Hu, 2019. "Contagion Processes on Time-Varying Networks with Homophily-Driven Group Interactions," Complexity, Hindawi, vol. 2019, pages 1-13, October.
    2. Hu, Ping & Geng, Dongqing & Lin, Tao & Ding, Li, 2021. "Coupled propagation dynamics on multiplex activity-driven networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 561(C).
    3. K. M. Ariful Kabir & Jun Tanimotoc, 2019. "Impact of awareness in metapopulation epidemic model to suppress the infected individuals for different graphs," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 92(9), pages 1-16, September.
    4. Lu, Yonglei & Liu, Jing, 2019. "The impact of information dissemination strategies to epidemic spreading on complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 536(C).
    5. Petter Holme, 2015. "Modern temporal network theory: a colloquium," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 88(9), pages 1-30, September.
    6. Chen, Xiaolong & Gong, Kai & Wang, Ruijie & Cai, Shimin & Wang, Wei, 2020. "Effects of heterogeneous self-protection awareness on resource-epidemic coevolution dynamics," Applied Mathematics and Computation, Elsevier, vol. 385(C).
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    Cited by:

    1. Jia Wang & Zhiping Wang & Ping Yu & Peiwen Wang, 2022. "The SEIR Dynamic Evolutionary Model with Markov Chains in Hyper Networks," Sustainability, MDPI, vol. 14(20), pages 1-16, October.
    2. Ping Yu & Peiwen Wang & Zhiping Wang & Jia Wang, 2022. "Supply Chain Risk Diffusion Model Considering Multi-Factor Influences under Hypernetwork Vision," Sustainability, MDPI, vol. 14(14), pages 1-15, July.

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