IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v627y2023ics0378437123006866.html

Simplicial SIR rumor propagation models with delay in both homogeneous and heterogeneous networks

Author

Listed:
  • Lv, Xijian
  • Fan, Dongmei
  • Li, Qiang
  • Wang, Jinling
  • Zhou, Li

Abstract

In social systems, not only do many interactions take place between pairs of individuals, but also take place in groups of individuals. To model the rumor propagation with consideration of both the pairwise interactions and the collective interactions, the simplicial SIR rumor propagation models are proposed in this paper. In addition, we take into account network topology and the time delay in the proposed models. Through analysis, the bistable phenomenon appears, in which the healthy and the endemic state can co-exist. The conditions for the existence and stability of the rumor-persistent equilibrium point are obtained by theoretical analysis in homogeneous and heterogeneous networks. Moreover, the conditions under which the phenomenon of bifurcation occurs are given. To demonstrate the validity of the theoretical analysis, the proposed models are numerically simulated on homogeneous and heterogeneous networks.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:phsmap:v:627:y:2023:i:c:s0378437123006866
    DOI: 10.1016/j.physa.2023.129131
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437123006866
    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.2023.129131?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

    for a different version of it.

    References listed on IDEAS

    as
    1. Wang, Xiao Fan & Chen, Guanrong, 2002. "Pinning control of scale-free dynamical networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 310(3), pages 521-531.
    2. Cowan, Robin & Jonard, Nicolas, 2004. "Network structure and the diffusion of knowledge," Journal of Economic Dynamics and Control, Elsevier, vol. 28(8), pages 1557-1575, June.
    3. Nekovee, M. & Moreno, Y. & Bianconi, G. & Marsili, M., 2007. "Theory of rumour spreading in complex social networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 374(1), pages 457-470.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. 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).
    2. Du, Kang & Fan, Ruguo & Wang, Dongxue & Xie, Xiao & Xu, Xiaoxia & Lin, Jinchai, 2025. "Competitive information spreading model in two-layer networks considering dual debunking mechanisms and time lag effects," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 665(C).
    3. Pan, Yuxuan & Zhu, Linhe, 2024. "Parameter identification method of information propagation models based on different network structures," Chaos, Solitons & Fractals, Elsevier, vol. 185(C).
    4. Feng, Xinhang & Jiang, Yanli & Gai, Wenmei, 2024. "Rural community response to accidental toxic gas release: An individual emergency response model during self-organized evacuations," Reliability Engineering and System Safety, Elsevier, vol. 248(C).
    5. Nan Lei & Yang Xia & Weinan Fu & Xinyue Zhang & Haijun Jiang, 2024. "Dynamics and Control of a Novel Discrete Internet Rumor Propagation Model in a Multilingual Environment," Mathematics, MDPI, vol. 12(20), pages 1-20, October.
    6. Xia, Yang & Jiang, Haijun & Mei, Xuehui & Li, Jiarong & Yu, Shuzhen, 2024. "Dynamical analysis of a stochastic Hyper-INPR competitive information propagation model," Chaos, Solitons & Fractals, Elsevier, vol. 185(C).
    7. Jing, Ying & Wang, Youguo & Zhai, Qiqing & Chen, Wei, 2025. "Late-stage reversal of negative information diffusion driven by memory accumulation under low infection on simplicial complexes," Chaos, Solitons & Fractals, Elsevier, vol. 200(P3).

    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. Lv, Xijian & Fan, Dongmei & Yang, Junxian & Li, Qiang & Zhou, Li, 2024. "Delay differential equation modeling of social contagion with higher-order interactions," Applied Mathematics and Computation, Elsevier, vol. 466(C).
    2. Huo, Liang’an & Chen, Sijing, 2020. "Rumor propagation model with consideration of scientific knowledge level and social reinforcement in heterogeneous network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 559(C).
    3. Stephen Chen, 2009. "Corporate Responsibilities in Internet-Enabled Social Networks," Journal of Business Ethics, Springer, vol. 90(4), pages 523-536, December.
    4. Li, Dandan & Ma, Jing, 2017. "How the government’s punishment and individual’s sensitivity affect the rumor spreading in online social networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 469(C), pages 284-292.
    5. Anil K. Gupta & Paul E. Tesluk & M. Susan Taylor, 2007. "Innovation At and Across Multiple Levels of Analysis," Organization Science, INFORMS, vol. 18(6), pages 885-897, December.
    6. Hosni, Adil Imad Eddine & Li, Kan & Ahmad, Sadique, 2020. "Analysis of the impact of online social networks addiction on the propagation of rumors," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 542(C).
    7. Chenyu Zhang & Jinying Wang & Liangzhe Xu, 2025. "Examining the Characteristics and Influencing Factors of Collaborative Innovation in the Shanghai Cooperation Organization: A Network Perspective," SAGE Open, , vol. 15(2), pages 21582440251, April.
    8. Li, Ziran & Sun, Jiajing & Wang, Shouyang, 2013. "Amplitude-Duration-Persistence Trade-off Relationship for Long Term Bear Stock Markets," MPRA Paper 54177, University Library of Munich, Germany.
    9. Daniele Cassese & Paolo Pin, 2025. "Decentralized pure exchange processes on networks," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 64(3), pages 427-463, May.
    10. Liming Zhao & Haihong Zhang & Wenqing Wu, 2019. "Cooperative knowledge creation in an uncertain network environment based on a dynamic knowledge supernetwork," Scientometrics, Springer;Akadémiai Kiadó, vol. 119(2), pages 657-685, May.
    11. Pi, Xiaochen & Tang, Longkun & Chen, Xiangzhong, 2021. "A directed weighted scale-free network model with an adaptive evolution mechanism," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 572(C).
    12. Mueller, Matthias & Bogner, Kristina & Buchmann, Tobias & Kudic, Muhamed, 2015. "Simulating knowledge diffusion in four structurally distinct networks: An agent-based simulation model," Hohenheim Discussion Papers in Business, Economics and Social Sciences 05-2015, University of Hohenheim, Faculty of Business, Economics and Social Sciences.
    13. T. Botmart & N. Yotha & P. Niamsup & W. Weera, 2017. "Hybrid Adaptive Pinning Control for Function Projective Synchronization of Delayed Neural Networks with Mixed Uncertain Couplings," Complexity, Hindawi, vol. 2017, pages 1-18, August.
    14. Zhu, Hongmiao & Jin, Zhen & Yan, Xin, 2023. "A dynamics model of coupling transmission for multiple different knowledge in multiplex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 629(C).
    15. Jia, Pingqi & Wang, Chao & Zhang, Gaoyu & Ma, Jianfeng, 2019. "A rumor spreading model based on two propagation channels in social networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 524(C), pages 342-353.
    16. Wenle Zhang & Jianchang Liu, 2016. "Ultra-fast consensus of discrete-time multi-agent systems with multi-step predictive output feedback," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(6), pages 1465-1479, April.
    17. Wang, Haiying & Moore, Jack Murdoch & Wang, Jun & Small, Michael, 2021. "The distinct roles of initial transmission and retransmission in the persistence of knowledge in complex networks," Applied Mathematics and Computation, Elsevier, vol. 392(C).
    18. Wang, Xiaojie & Zhang, Xue & Zhao, Chengli & Yi, Dongyun, 2018. "Effectively identifying multiple influential spreaders in term of the backward–forward propagation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 512(C), pages 404-413.
    19. Mario V. Tomasello & Mauro Napoletano & Antonios Garas & Frank Schweitzer, 2017. "The rise and fall of R&D networks," Industrial and Corporate Change, Oxford University Press and the Associazione ICC, vol. 26(4), pages 617-646.
    20. Cantner, Uwe & Graf, Holger, 2006. "The network of innovators in Jena: An application of social network analysis," Research Policy, Elsevier, vol. 35(4), pages 463-480, May.

    More about this item

    Keywords

    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    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:627:y:2023:i:c:s0378437123006866. 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.