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Coupled simultaneous evolution of disease and information on multiplex networks

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  • Wu, Qingchu
  • Chen, Shufang

Abstract

We analyzed the interaction processes between disease and disease-based information on multiplex networks. Unlike previous models, an epidemic can spread in parallel with the information diffusion during a time step. We used the probability theory to derive a novel individual-based transmission model, which is different from the reported methods, and developed a pairwise formulation of this model. Interestingly, when the infection rate is enough large, the infection curve firstly achieves a large peak, then rapidly decreases to a steady state. In addition, we considered the other two coexistence mechanisms of disease and information during a time step, and found that all mechanisms have the same condition of epidemic outbreak. The theoretical results strongly agree with discrete-time stochastic simulations, and may provide insights for a wide application range for multi-dynamic spreading processes.

Suggested Citation

  • Wu, Qingchu & Chen, Shufang, 2022. "Coupled simultaneous evolution of disease and information on multiplex networks," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).
    • Handle: RePEc:eee:chsofr:v:159:y:2022:i:c:s0960077922003290
    DOI: 10.1016/j.chaos.2022.112119
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    References listed on IDEAS

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    1. Zhan, Xiu-Xiu & Liu, Chuang & Zhou, Ge & Zhang, Zi-Ke & Sun, Gui-Quan & Zhu, Jonathan J.H. & Jin, Zhen, 2018. "Coupling dynamics of epidemic spreading and information diffusion on complex networks," Applied Mathematics and Computation, Elsevier, vol. 332(C), pages 437-448.
    2. Wang, Zhishuang & Guo, Quantong & Sun, Shiwen & Xia, Chengyi, 2019. "The impact of awareness diffusion on SIR-like epidemics in multiplex networks," Applied Mathematics and Computation, Elsevier, vol. 349(C), pages 134-147.
    3. Zhu, Xuzhen & Wang, Ruijie & Wang, Zexun & Chen, Xiaolong & Wang, Wei & Cai, Shimin, 2019. "Double-edged sword effect of edge overlap on asymmetrically interacting spreading dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 515(C), pages 617-624.
    4. Zang, Haijuan, 2018. "The effects of global awareness on the spreading of epidemics in multiplex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 492(C), pages 1495-1506.
    5. Kabir, K.M. Ariful & Kuga, Kazuki & Tanimoto, Jun, 2019. "Analysis of SIR epidemic model with information spreading of awareness," Chaos, Solitons & Fractals, Elsevier, vol. 119(C), pages 118-125.
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    Cited by:

    1. Huang, He & Pan, Jialin & Chen, Yahong, 2024. "The competitive diffusion of knowledge and rumor in a multiplex network: A mathematical model," Applied Mathematics and Computation, Elsevier, vol. 475(C).
    2. Wu, Qingchu, 2024. "A hybrid one-vertex model for susceptible–infected–susceptible diseases on networks with partial connection information," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).
    3. Huang, He & Xu, Yang & Xing, Jingli & Shi, Tianyu, 2023. "Social influence or risk perception? A mathematical model of self-protection against asymptomatic infection in multilayer network," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).
    4. Jingyi Wang & Rui Hu & Hua Xu, 2024. "Coupled Simultaneous Evolution of Policy, Enterprise Innovation Awareness, and Technology Diffusion in Multiplex Networks," Mathematics, MDPI, vol. 12(13), pages 1-19, July.

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