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Dynamics of SIS epidemic model in heterogeneous hypernetworks

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  • Wang, Wenhui
  • Zhang, Juping
  • Jin, Zhen

Abstract

In this paper, we develop a susceptible–infected–susceptible model for collective contagion and individual contagion in hypernetworks with higher-order interactions and heterogeneous structures. It is first analyzed the dynamics of epidemics spreading in a general hypernetwork in which infected nodes infect susceptible nodes through hyperedges. The constructed model is written as a hyperdegree-based mean-field model, a threshold for the spread of epidemics in a general hypernetwork is obtained, and the dynamical analysis is performed. The model is analyzed to have rich dynamics with backward bifurcation under certain conditions, i.e., there is a bistability phenomenon in which a disease-free equilibrium and an endemic equilibrium coexist. Finally, through numerical simulations, we obtain how the degree of heterogeneity in hypernetworks and the proportion of hyperedges that perform individual contagion affect the spread of epidemics in hypernetworks.

Suggested Citation

  • Wang, Wenhui & Zhang, Juping & Jin, Zhen, 2024. "Dynamics of SIS epidemic model in heterogeneous hypernetworks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 655(C).
    • Handle: RePEc:eee:phsmap:v:655:y:2024:i:c:s0378437124007064
    DOI: 10.1016/j.physa.2024.130197
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    References listed on IDEAS

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    1. Zhou, Zhidong & Jin, Zhen & Jin, Jun & Song, Haitao, 2020. "Emergence of scaling in evolving hypernetworks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 546(C).
    2. Guilherme Ferraz de Arruda & Giovanni Petri & Pablo Martin Rodriguez & Yamir Moreno, 2023. "Multistability, intermittency, and hybrid transitions in social contagion models on hypergraphs," Nature Communications, Nature, vol. 14(1), pages 1-15, December.
    3. Serina Chang & Emma Pierson & Pang Wei Koh & Jaline Gerardin & Beth Redbird & David Grusky & Jure Leskovec, 2021. "Mobility network models of COVID-19 explain inequities and inform reopening," Nature, Nature, vol. 589(7840), pages 82-87, January.
    4. Zhang, Ziyu & Mei, Xuehui & Jiang, Haijun & Luo, Xupeng & Xia, Yang, 2023. "Dynamical analysis of Hyper-SIR rumor spreading model," Applied Mathematics and Computation, Elsevier, vol. 446(C).
    5. 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).
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