IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v654y2024ics0378437124006277.html
   My bibliography  Save this article

A simplicial SSIS epidemic model with the outgoing pressure

Author

Listed:
  • Qin, Yuyan
  • Yang, Lixin
  • Li, Jia
  • Li, Mengjiao
  • Du, Meng Meng

Abstract

A new simplicial epidemic model that considers the pressure of out-going is proposed to describe the characteristics of clustering on disease transmission more accurately. In addition, the probability evolution equations of nodes in each state are obtained by the quenched mean-field method. Furthermore, we analyze the conditions of the existence and the stability of the equilibrium points. Subsequently, the sensitivity analysis of the parameters is investigated, and it can be concluded that the degree about pairwise transmission rate has great impact on the propagation threshold. Our simulation results indicate that the system produces forward bifurcation or backward bifurcation via the one-parameter bifurcation diagram, and the bistable state of the system appears under certain conditions. Meanwhile, we obtain the transition conditions of the system from the disease-free equilibrium state to the bistable state through the divisional diagram. It is also noticed that the pressure of out-going plays a crucial role in the spreading process of diseases. On the one hand, the increasing of the pressure of out-going leads to the decreasing of the disease transmission threshold and a faster outbreak of disease. On the other hand, an increase in the individuals without the pressure of out-going causes the increasing of transmission threshold and a slower outbreak of disease.

Suggested Citation

  • Qin, Yuyan & Yang, Lixin & Li, Jia & Li, Mengjiao & Du, Meng Meng, 2024. "A simplicial SSIS epidemic model with the outgoing pressure," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 654(C).
    • Handle: RePEc:eee:phsmap:v:654:y:2024:i:c:s0378437124006277
    DOI: 10.1016/j.physa.2024.130118
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437124006277
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2024.130118?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Liu, Maoxing & Ren, Xuejie & Peng, Yu & Sun, Yongzheng, 2024. "The dynamical analysis of simplicial SAIS epidemic model with awareness programs by media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 649(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. Vivekanandhan, Gayathri & Nourian Zavareh, Mahdi & Natiq, Hayder & Nazarimehr, Fahimeh & Rajagopal, Karthikeyan & Svetec, Milan, 2022. "Investigation of vaccination game approach in spreading covid-19 epidemic model with considering the birth and death rates," Chaos, Solitons & Fractals, Elsevier, vol. 163(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. Saha, Sangeeta & Dutta, Protyusha & Samanta, Guruprasad, 2022. "Dynamical behavior of SIRS model incorporating government action and public response in presence of deterministic and fluctuating environments," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    6. Pires, Marcelo A. & Crokidakis, Nuno, 2017. "Dynamics of epidemic spreading with vaccination: Impact of social pressure and engagement," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 467(C), pages 167-179.
    7. Wu, Yucui & Zhang, Zhipeng & Song, Limei & Xia, Chengyi, 2024. "Global stability analysis of two strains epidemic model with imperfect vaccination and immunity waning in a complex network," Chaos, Solitons & Fractals, Elsevier, vol. 179(C).
    8. Ma, Jinlong & Wang, Peng, 2024. "Impact of community networks with higher-order interaction on epidemic dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).
    9. Meng, Xueyu & Han, Sijie & Wu, Leilei & Si, Shubin & Cai, Zhiqiang, 2022. "Analysis of epidemic vaccination strategies by node importance and evolutionary game on complex networks," Reliability Engineering and System Safety, Elsevier, vol. 219(C).
    10. Lv, Xijian & Fan, Dongmei & Li, Qiang & Wang, Jinling & Zhou, Li, 2023. "Simplicial SIR rumor propagation models with delay in both homogeneous and heterogeneous networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 627(C).
    11. Chakir, Yassine, 2023. "Global approximate solution of SIR epidemic model with constant vaccination strategy," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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).
    2. Cui, Guang-Hai & Li, Jun-Li & Dong, Kun-Xiang & Jin, Xing & Yang, Hong-Yong & Wang, Zhen, 2024. "Influence of subsidy policies against insurances on controlling the propagation of epidemic security risks in networks," Applied Mathematics and Computation, Elsevier, vol. 476(C).
    3. You, Xuemei & Fan, Xiaonan & Ma, Yinghong & Liu, Zhiyuan & Zhang, Ruifeng, 2024. "Impact of message fatigue in information-disease coupled dynamics on temporal simplicial networks," Applied Mathematics and Computation, Elsevier, vol. 479(C).
    4. Hu, Xin & Wang, Zhishuang & Sun, Qingyi & Chen, Jiaxing & Zhao, Dawei & Xia, Chengyi, 2024. "Coupled propagation between one communicable disease and related two types of information on multiplex networks with simplicial complexes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 645(C).
    5. Chang, Xin & Cai, Chao-Ran & Zhang, Ji-Qiang & Yang, Wen-Li, 2024. "The universality of physical images at relative timescales on multiplex networks," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    6. Wang, Yichao & Tu, Lilan & Wang, Xianjia & Guo, Yifei, 2024. "Evolutionary vaccination game considering intra-seasonal strategy shifts regarding multi-seasonal epidemic spreading," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).
    7. Wang, Yi & Zhao, Yi, 2024. "Synchronization of directed higher-order networks via pinning control," Chaos, Solitons & Fractals, Elsevier, vol. 185(C).
    8. Li, Jiachen & Li, Wenjie & Gao, Feng & Cai, Meng & Zhang, Zengping & Liu, Xiaoyang & Wang, Wei, 2024. "Social contagions on higher-order community networks," Applied Mathematics and Computation, Elsevier, vol. 478(C).
    9. Qianru Chen & Hualin Xie & Qunli Zhai, 2022. "Management Policy of Farmers’ Cultivated Land Abandonment Behavior Based on Evolutionary Game and Simulation Analysis," Land, MDPI, vol. 11(3), pages 1-23, February.
    10. Huan Wang & Chuang Ma & Han-Shuang Chen & Ying-Cheng Lai & Hai-Feng Zhang, 2022. "Full reconstruction of simplicial complexes from binary contagion and Ising data," Nature Communications, Nature, vol. 13(1), pages 1-10, December.
    11. Federico Malizia & Santiago Lamata-Otín & Mattia Frasca & Vito Latora & Jesús Gómez-Gardeñes, 2025. "Hyperedge overlap drives explosive transitions in systems with higher-order interactions," Nature Communications, Nature, vol. 16(1), pages 1-10, December.
    12. Xie, Xiaoxiao & Huo, Liang’an, 2024. "The coupled dynamics of information-behavior-epidemic propagation considering the heterogeneity of adoption thresholds and network structures in multiplex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 647(C).
    13. Luca Gallo & Lucas Lacasa & Vito Latora & Federico Battiston, 2024. "Higher-order correlations reveal complex memory in temporal hypergraphs," Nature Communications, Nature, vol. 15(1), pages 1-7, December.
    14. Gong, Chang & Li, Jichao & Qian, Liwei & Li, Siwei & Yang, Zhiwei & Yang, Kewei, 2024. "HMSL: Source localization based on higher-order Markov propagation," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    15. Daniel Reisinger & Fabian Tschofenig & Raven Adam & Marie Lisa Kogler & Manfred Füllsack & Fabian Veider & Georg Jäger, 2024. "Patterns of stability in complex contagions," Journal of Computational Social Science, Springer, vol. 7(2), pages 1895-1911, October.
    16. Leng, Hui & Zhao, Yi & Luo, Jianfeng, 2024. "Simplicial epidemic model with a threshold policy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 653(C).
    17. Vera-Ávila, V.P. & Rivera-Durón, R.R. & Soriano-Garcia, Miguel S. & Sevilla-Escoboza, R. & Buldú, Javier M., 2024. "Electronic implementation of simplicial complexes," Chaos, Solitons & Fractals, Elsevier, vol. 183(C).
    18. 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.
    19. Nie, Yanyi & Li, Wenyao & Pan, Liming & Lin, Tao & Wang, Wei, 2022. "Markovian approach to tackle competing pathogens in simplicial complex," Applied Mathematics and Computation, Elsevier, vol. 417(C).
    20. Keliger, Dániel & Horváth, Illés, 2023. "Accuracy criterion for mean field approximations of Markov processes on hypergraphs," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 609(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:654:y:2024:i:c:s0378437124006277. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.