中国物理B ›› 2026, Vol. 35 ›› Issue (3): 30202-030202.doi: 10.1088/1674-1056/adf31c

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Epidemic evolution model considering individual heterogeneity in multi-layer hypernetwork

Shijie Xie(谢仕杰)1, Peiwen Wang(王沛文)2, Zhiping Wang(王志平)1,†, Yueyue Zheng(郑月月)1, and Lin Wang(王琳)3,‡   

  1. 1 School of Science, Dalian Maritime University, Dalian 116026, China;
    2 Department of Surface Ship Command, Dalian Naval Academy, Dalian 116001, China;
    3 Department of Respiratory and Critical Care Medicine, Institute of Respiratory Diseases, The First Affiliated Hospital of Dalian Medical University, Dalian 116011, China
  • 收稿日期:2025-06-16 修回日期:2025-07-16 接受日期:2025-07-23 出版日期:2026-02-11 发布日期:2026-03-10
  • 通讯作者: Zhiping Wang, Lin Wang E-mail:wzp@dlmu.edu.cn;1015132938@qq.com
  • 基金资助:
    Project supported by the Fundamental Research Funds for the Central Universities (Grant No. N2406015).

Epidemic evolution model considering individual heterogeneity in multi-layer hypernetwork

Shijie Xie(谢仕杰)1, Peiwen Wang(王沛文)2, Zhiping Wang(王志平)1,†, Yueyue Zheng(郑月月)1, and Lin Wang(王琳)3,‡   

  1. 1 School of Science, Dalian Maritime University, Dalian 116026, China;
    2 Department of Surface Ship Command, Dalian Naval Academy, Dalian 116001, China;
    3 Department of Respiratory and Critical Care Medicine, Institute of Respiratory Diseases, The First Affiliated Hospital of Dalian Medical University, Dalian 116011, China
  • Received:2025-06-16 Revised:2025-07-16 Accepted:2025-07-23 Online:2026-02-11 Published:2026-03-10
  • Contact: Zhiping Wang, Lin Wang E-mail:wzp@dlmu.edu.cn;1015132938@qq.com
  • Supported by:
    Project supported by the Fundamental Research Funds for the Central Universities (Grant No. N2406015).

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摘要： In recent years, the dynamic coupling mechanisms between information dissemination and epidemic transmission have garnered significant attention. Existing studies predominantly focus on the impact of individual awareness on disease spread; however, in reality, the factors driving awareness shifts and heterogeneous perceptions of epidemics vary substantially among individuals with different health statuses. Moreover, traditional pairwise interaction networks fail to capture the complexity of social contagion processes. To address these gaps, this study proposes a three-layer hypernetwork epidemic model (mass media layer-information layer-epidemic layer) based on evolutionary hypergraphs, incorporating individual heterogeneity and higher-order group interactions. The information layer employs an asthenic awareness-powerful awareness-asthenic awareness (APA) propagation model to characterize the diffusion of epidemic awareness, integrated with a perceived pain level metric to quantify dynamic awareness states among infected individuals. The underlying susceptible-infected-recovered (SIR) model incorporates dual modulation factors that adjust infection and transmission probabilities based on awareness-dependent behaviors. Model validity is verified through microscopic Markov chain approach (MMCA) numerical simulations, which identify epidemic thresholds and analyze key parameters. The key findings reveal that susceptibility and transmission rates are critical factors determining epidemic scale; high-coverage official media can rapidly disseminate accurate information and curb rumors; controlling pain levels and improving recovery efficiency are crucial for reducing the infection peak and shortening epidemic duration. This study provides a systematic analytical framework for understanding the interaction mechanisms among mass media, individual cognition, and epidemic transmission in real-world scenarios.

关键词: epidemic transmission, information transmission, individual consciousness, multilayer hypernetwork, microscopic Markov chain

Abstract: In recent years, the dynamic coupling mechanisms between information dissemination and epidemic transmission have garnered significant attention. Existing studies predominantly focus on the impact of individual awareness on disease spread; however, in reality, the factors driving awareness shifts and heterogeneous perceptions of epidemics vary substantially among individuals with different health statuses. Moreover, traditional pairwise interaction networks fail to capture the complexity of social contagion processes. To address these gaps, this study proposes a three-layer hypernetwork epidemic model (mass media layer-information layer-epidemic layer) based on evolutionary hypergraphs, incorporating individual heterogeneity and higher-order group interactions. The information layer employs an asthenic awareness-powerful awareness-asthenic awareness (APA) propagation model to characterize the diffusion of epidemic awareness, integrated with a perceived pain level metric to quantify dynamic awareness states among infected individuals. The underlying susceptible-infected-recovered (SIR) model incorporates dual modulation factors that adjust infection and transmission probabilities based on awareness-dependent behaviors. Model validity is verified through microscopic Markov chain approach (MMCA) numerical simulations, which identify epidemic thresholds and analyze key parameters. The key findings reveal that susceptibility and transmission rates are critical factors determining epidemic scale; high-coverage official media can rapidly disseminate accurate information and curb rumors; controlling pain levels and improving recovery efficiency are crucial for reducing the infection peak and shortening epidemic duration. This study provides a systematic analytical framework for understanding the interaction mechanisms among mass media, individual cognition, and epidemic transmission in real-world scenarios.

Key words: epidemic transmission, information transmission, individual consciousness, multilayer hypernetwork, microscopic Markov chain

中图分类号:  (Markov processes)

  • 02.50.Ga
02.60.Cb (Numerical simulation; solution of equations) 02.50.Ey (Stochastic processes)