中国物理B ›› 2025, Vol. 34 ›› Issue (10): 100201-100201.doi: 10.1088/1674-1056/add50c

• •    下一篇

An epidemic model considering multiple factors based on multilayer hypernetworks

Yue-Yue Zheng(郑月月)1, Zhi-Ping Wang(王志平)1,†, Ya-Nan Sun(孙雅楠)1, Shi-Jie Xie(谢仕杰)1, and Lin Wang(王琳)2,‡   

  1. 1 School of Science, Dalian Maritime University, Dalian 116026, China;
    2 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:2025-04-03 修回日期:2025-05-04 接受日期:2025-05-07 发布日期:2025-10-11
  • 通讯作者: Zhi-Ping Wang, Lin Wang E-mail:wzp@dlmu.edu.cn;1015132938@qq.com

An epidemic model considering multiple factors based on multilayer hypernetworks

Yue-Yue Zheng(郑月月)1, Zhi-Ping Wang(王志平)1,†, Ya-Nan Sun(孙雅楠)1, Shi-Jie Xie(谢仕杰)1, and Lin Wang(王琳)2,‡   

  1. 1 School of Science, Dalian Maritime University, Dalian 116026, China;
    2 Department of Respiratory and Critical Care Medicine, Institute of Respiratory Diseases, The First Affiliated Hospital of Dalian Medical University, Dalian 116011, China
  • Received:2025-04-03 Revised:2025-05-04 Accepted:2025-05-07 Published:2025-10-11
  • Contact: Zhi-Ping Wang, Lin Wang E-mail:wzp@dlmu.edu.cn;1015132938@qq.com

摘要: The outbreak of COVID-19 in 2019 has made people pay more attention to infectious diseases. In order to reduce the risk of infection and prevent the spread of infectious diseases, it is crucial to strengthen individual immunization measures and to restrain the diffusion of negative information relevant to vaccines at the opportune moment. This study develops a three-layer coupling model within the framework of hypernetwork evolution, examining the interplay among negative information, immune behavior, and epidemic propagation. Firstly, the dynamic topology evolution process of hypernetwork includes node joining, aging out, hyperedge adding and reconnecting. The three-layer communication model accounts for the multifaceted influences exerted by official media channels, subjective psychological acceptance capabilities, self-identification abilities, and physical fitness levels. Each level of the decision-making process is described using the Heaviside step function. Secondly, the dynamics equations of each state and the prevalence threshold are derived using the microscopic Markov chain approach (MMCA). The results show that the epidemic threshold is affected by three transmission processes. Finally, through the simulation testing, it is possible to enhance the intensity of official clarification, improve individual self-identification ability and physical fitness, and thereby promote the overall physical enhancement of society. This, in turn, is beneficial in controlling false information, heightening vaccination coverage, and controlling the epidemic.

关键词: multilayer hypernetworks, information diffusion, immunization behavior, epidemic spreading

Abstract: The outbreak of COVID-19 in 2019 has made people pay more attention to infectious diseases. In order to reduce the risk of infection and prevent the spread of infectious diseases, it is crucial to strengthen individual immunization measures and to restrain the diffusion of negative information relevant to vaccines at the opportune moment. This study develops a three-layer coupling model within the framework of hypernetwork evolution, examining the interplay among negative information, immune behavior, and epidemic propagation. Firstly, the dynamic topology evolution process of hypernetwork includes node joining, aging out, hyperedge adding and reconnecting. The three-layer communication model accounts for the multifaceted influences exerted by official media channels, subjective psychological acceptance capabilities, self-identification abilities, and physical fitness levels. Each level of the decision-making process is described using the Heaviside step function. Secondly, the dynamics equations of each state and the prevalence threshold are derived using the microscopic Markov chain approach (MMCA). The results show that the epidemic threshold is affected by three transmission processes. Finally, through the simulation testing, it is possible to enhance the intensity of official clarification, improve individual self-identification ability and physical fitness, and thereby promote the overall physical enhancement of society. This, in turn, is beneficial in controlling false information, heightening vaccination coverage, and controlling the epidemic.

Key words: multilayer hypernetworks, information diffusion, immunization behavior, epidemic spreading

中图分类号:  (Markov processes)

  • 02.50.Ga
45.05.+x (General theory of classical mechanics of discrete systems) 87.23.Kg (Dynamics of evolution) 64.60.aq (Networks)