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Simplicial epidemic model with individual resource

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  • Li, Shumei
  • Yang, Chun
  • Yao, Zhiwen

Abstract

The investment and rational use of medical resources are crucial for the prevention and control of epidemics. Here we propose a coupled dynamics model of individual resource and disease transmission on simplicial complexes that considers the dynamic changes of resource quantity during the spreading of the epidemic. Firstly, we derive the solutions (infection density) of the disease transmission dynamics equations under the mean-field approximation, and analyze their stability. We find that the number of stable solutions is related to the infection rates of both interactions and higher-order interactions, and we obtain the transmission threshold under different initial infection densities. Secondly, in the numerical simulation, we discover a double hysteresis loop of infection density as it evolves with the infection rate of interactions. Moreover, we find a critical value for the cost of disease recovery; when the recovery cost is above this critical value, the system state transitions from partial infection to complete infection. Interestingly, we find a maximum value for infection density when the system is in partial infection state. Finally, we verify the existence of the double hysteresis loop on real-world networks.

Suggested Citation

  • Li, Shumei & Yang, Chun & Yao, Zhiwen, 2024. "Simplicial epidemic model with individual resource," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 647(C).
  • Handle: RePEc:eee:phsmap:v:647:y:2024:i:c:s037843712400414x
    DOI: 10.1016/j.physa.2024.129905
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    References listed on IDEAS

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    1. Jiang, Jian & Zhou, Tianshou, 2018. "The influence of time delay on epidemic spreading under limited resources," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 508(C), pages 414-423.
    2. Ping Huang & Xiao-Long Chen & Ming Tang & Shi-Min Cai & Ye Wu, 2021. "Coupled Dynamic Model of Resource Diffusion and Epidemic Spreading in Time-Varying Multiplex Networks," Complexity, Hindawi, vol. 2021, pages 1-11, March.
    3. Sun, Qingyi & Wang, Zhishuang & Zhao, Dawei & Xia, Chengyi & Perc, Matjaž, 2022. "Diffusion of resources and their impact on epidemic spreading in multilayer networks with simplicial complexes," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    4. Iacopo Iacopini & Giovanni Petri & Alain Barrat & Vito Latora, 2019. "Simplicial models of social contagion," Nature Communications, Nature, vol. 10(1), pages 1-9, December.
    5. Abel Brodeur & David Gray & Anik Islam & Suraiya Bhuiyan, 2021. "A literature review of the economics of COVID‐19," Journal of Economic Surveys, Wiley Blackwell, vol. 35(4), pages 1007-1044, September.
    6. 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).
    7. Ann E. Sizemore & Elisabeth A. Karuza & Chad Giusti & Danielle S. Bassett, 2018. "Knowledge gaps in the early growth of semantic feature networks," Nature Human Behaviour, Nature, vol. 2(9), pages 682-692, September.
    8. L. V. Gambuzza & F. Patti & L. Gallo & S. Lepri & M. Romance & R. Criado & M. Frasca & V. Latora & S. Boccaletti, 2021. "Stability of synchronization in simplicial complexes," Nature Communications, Nature, vol. 12(1), pages 1-13, December.
    9. Li, Zhaoqing & Deng, Zhenghong & Han, Zhen & Alfaro-Bittner, Karin & Barzel, Baruch & Boccaletti, Stefano, 2021. "Contagion in simplicial complexes," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    10. Eyal Bairey & Eric D. Kelsic & Roy Kishony, 2016. "High-order species interactions shape ecosystem diversity," Nature Communications, Nature, vol. 7(1), pages 1-7, November.
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