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Effect of time-varying validity of individual interaction on co-evolution of awareness and epidemics in a multiplex high-order network

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  • Li, Ming
  • Huo, Liang'an

Abstract

Individual interactions play a crucial role in the co-evolution process of awareness and epidemics; these interactions involve pairwise and higher-order types. Previous research usually assumed that individual interactions are all valid and static, overlooking the fact that some interactions may be invalid and time-varying. Notably, diffusion phenomena cannot occur if interactions lose their validity. To address this gap, a novel coupled model is proposed to study the effect of time-varying interaction validity on the co-evolution of awareness and epidemics in a multiplex high-order network. Individual activity and life-cycle theory are employed to model the time-varying validity of interactions, which is further characterized using threshold functions. Simulation experiments reveal that increasing individual activity will increase the validity of interactions, which then leads to the prevalence of epidemics. In addition, maximizing epidemic control can be achieved by increasing activity in the virtual layer while reducing activity in the physical layer. Moreover, the results in more densely interacted communities suggest that more stringent control measures are required to bring the epidemic to extinction.

Suggested Citation

  • Li, Ming & Huo, Liang'an, 2025. "Effect of time-varying validity of individual interaction on co-evolution of awareness and epidemics in a multiplex high-order network," Applied Mathematics and Computation, Elsevier, vol. 499(C).
    • Handle: RePEc:eee:apmaco:v:499:y:2025:i:c:s0096300325001237
    DOI: 10.1016/j.amc.2025.129396
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    1. Cooper, Ian & Mondal, Argha & Antonopoulos, Chris G., 2020. "A SIR model assumption for the spread of COVID-19 in different communities," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
    2. Huo, Liang’an & Gu, Jiafeng, 2023. "The influence of individual emotions on the coupled model of unconfirmed information propagation and epidemic spreading in multilayer networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 609(C).
    3. Shi, Hongjing & Duan, Zhisheng & Chen, Guanrong, 2008. "An SIS model with infective medium on complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(8), pages 2133-2144.
    4. You, Xuemei & Zhang, Man & Ma, Yinghong & Tan, Jipeng & Liu, Zhiyuan, 2023. "Impact of higher-order interactions and individual emotional heterogeneity on information-disease coupled dynamics in multiplex networks," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    5. Iacopo Iacopini & Giovanni Petri & Alain Barrat & Vito Latora, 2019. "Simplicial models of social contagion," Nature Communications, Nature, vol. 10(1), pages 1-9, December.
    6. Fang, Fanshu & Ma, Jing & Ma, Yin-Jie & Boccaletti, Stefano, 2024. "Social contagion on higher-order networks: The effect of relationship strengths," Chaos, Solitons & Fractals, Elsevier, vol. 186(C).
    7. Zou, Rongcheng & Duan, Xiaofang & Han, Zhen & Lu, Yikang & Ma, Kewei, 2023. "What information sources can prevent the epidemic: Local information or kin information?," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
    8. Li, WenYao & Xue, Xiaoyu & Pan, Liming & Lin, Tao & Wang, Wei, 2022. "Competing spreading dynamics in simplicial complex," Applied Mathematics and Computation, Elsevier, vol. 412(C).
    9. Gerrit Großmann & Michael Backenköhler & Verena Wolf, 2021. "Heterogeneity matters: Contact structure and individual variation shape epidemic dynamics," PLOS ONE, Public Library of Science, vol. 16(7), pages 1-19, July.
    10. Li, Wenyao & Cai, Meng & Zhong, Xiaoni & Liu, Yanbing & Lin, Tao & Wang, Wei, 2023. "Coevolution of epidemic and infodemic on higher-order networks," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
    11. Wang, Weijie & Xu, Zhehang & Hua, Shijia & Cui, Longqing & Zhang, Jianlin & Meng, Fanyuan, 2024. "Threshold-initiated spatial public goods games," Chaos, Solitons & Fractals, Elsevier, vol. 184(C).
    12. Christian Carvajal-Miranda & Luis Mañas-Viniegra & Li Liang, 2020. "Online Discourse in the Context of COVID-19, the First Health Crisis in China after the Advent of Mobile Social Media: A Content Analysis of China’s Weibo and Baidu," Social Sciences, MDPI, vol. 9(10), pages 1-15, September.
    13. J. O. Lloyd-Smith & S. J. Schreiber & P. E. Kopp & W. M. Getz, 2005. "Superspreading and the effect of individual variation on disease emergence," Nature, Nature, vol. 438(7066), pages 355-359, November.
    14. Li, Ling & Dong, Gaogao & Zhu, Huaiping & Tian, Lixin, 2024. "Impact of multiple doses of vaccination on epidemiological spread in multiple networks," Applied Mathematics and Computation, Elsevier, vol. 472(C).
    15. Wen Deng & Yi Yang, 2021. "Cross-Platform Comparative Study of Public Concern on Social Media during the COVID-19 Pandemic: An Empirical Study Based on Twitter and Weibo," IJERPH, MDPI, vol. 18(12), pages 1-20, June.
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