IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v516y2019icp105-113.html
   My bibliography  Save this article

Social contagions on multiplex networks with heterogeneous population

Author

Listed:
  • Zhu, Shu-Shan
  • Zhu, Xu-Zhen
  • Wang, Jian-Qun
  • Zhang, Zeng-Ping
  • Wang, Wei

Abstract

In this paper, we study the effects of heterogeneous population on the dynamics of social contagions on multiplex networks. We assume a fraction of f nodes with a higher adoption threshold T>1, and the remaining fraction of 1−f nodes with adoption threshold 1. A social contagion model is proposed to describe the social contagions, in which a susceptible node adopting the contagion only when its received accumulated information is larger than the adoption threshold in either subnetwork. With an edge-based compartmental approach and extensive numerical simulations, we find that the system exhibits a continuous phase transition for small values of f, while shows a hybrid phase transition for relatively large values of f and T. For homogeneous multiplex networks the hybrid phase transition occurs, while there is only a continuous phase transition for heterogeneous multiplex networks. Our theoretical predictions agree well with numerical simulations.

Suggested Citation

  • Zhu, Shu-Shan & Zhu, Xu-Zhen & Wang, Jian-Qun & Zhang, Zeng-Ping & Wang, Wei, 2019. "Social contagions on multiplex networks with heterogeneous population," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 516(C), pages 105-113.
    • Handle: RePEc:eee:phsmap:v:516:y:2019:i:c:p:105-113
    DOI: 10.1016/j.physa.2018.10.010
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437118313487
    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.2018.10.010?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. Wang, Wei & Cai, Meng & Zheng, Muhua, 2018. "Social contagions on correlated multiplex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 499(C), pages 121-128.
    2. Karimi, Fariba & Holme, Petter, 2013. "Threshold model of cascades in empirical temporal networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(16), pages 3476-3483.
    3. Cai, Meng & Wang, Wei & Cui, Ying & Stanley, H. Eugene, 2018. "Multiplex network analysis of employee performance and employee social relationships," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 1-12.
    4. Sergey V. Buldyrev & Roni Parshani & Gerald Paul & H. Eugene Stanley & Shlomo Havlin, 2010. "Catastrophic cascade of failures in interdependent networks," Nature, Nature, vol. 464(7291), pages 1025-1028, April.
    5. Lin Wang & Joseph T. Wu, 2018. "Characterizing the dynamics underlying global spread of epidemics," Nature Communications, Nature, vol. 9(1), pages 1-11, December.
    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. Li, Yang & Sun, Hao & Xiong, Wanda & Xu, Genjiu, 2021. "Belief model of complex contagions on random networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 567(C).
    2. Wei Duan, 2021. "Matrix-Based Formulation of Heterogeneous Individual-Based Models of Infectious Diseases: Using SARS Epidemic as a Case Study," IJERPH, MDPI, vol. 18(11), pages 1-20, May.
    3. Sang, Chun-Yan & Liao, Shi-Gen, 2020. "Modeling and simulation of information dissemination model considering user’s awareness behavior in mobile social networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 537(C).

    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. Zou, Yang & Xiong, Zhongyang & Zhang, Pu & Wang, Wei, 2018. "Social contagions on multiplex networks with different reliability," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 506(C), pages 728-735.
    2. Yi, Yinxue & Zhang, Zufan & Gan, Chenquan, 2018. "The effect of social tie on information diffusion in complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 509(C), pages 783-794.
    3. Chen, Ning & Zhu, Xuzhen & Chen, Yanyan, 2019. "Information spreading on complex networks with general group distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 523(C), pages 671-676.
    4. Ren, Bo & Li, Huajiao & Shi, Jianglan & Liu, Yanxin & Qi, Yajie, 2022. "Identifying the key sectors and paths of the embodied energy in BRICS nations: A weighted multilayer network approach," Energy, Elsevier, vol. 239(PB).
    5. Zhang, Gui-Qing & Baró, Jordi & Cheng, Fang-Yin & Huang, He & Wang, Lin, 2019. "Avalanche dynamics of a generalized earthquake model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 1463-1471.
    6. Zhang, Shuang & Wang, Wei & Wu, Tao & Lin, Tao, 2019. "Phase transition of a generalized contact process on complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    7. Zhang, Tianqiao & Zhang, Yang & Zhu, Xuzhen & Chen, Junliang, 2019. "Cascading failures on interdependent networks with star dependent links," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 535(C).
    8. Wang, Jian & Fang, Hongying & Qin, Xiaolin, 2019. "Targeted attack on correlated interdependent networks with dependency groups," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 536(C).
    9. Liu, Xiang-Chun & Zhu, Xu-Zhen & Tian, Hui & Zhang, Zeng-Ping & Wang, Wei, 2019. "Identifying localized influential spreaders of information spreading," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 519(C), pages 92-97.
    10. Bier, Vicki & Gutfraind, Alexander, 2019. "Risk analysis beyond vulnerability and resilience – characterizing the defensibility of critical systems," European Journal of Operational Research, Elsevier, vol. 276(2), pages 626-636.
    11. Balint, T. & Lamperti, F. & Mandel, A. & Napoletano, M. & Roventini, A. & Sapio, A., 2017. "Complexity and the Economics of Climate Change: A Survey and a Look Forward," Ecological Economics, Elsevier, vol. 138(C), pages 252-265.
    12. Wang, Chengjiang & Wang, Li & Wang, Juan & Sun, Shiwen & Xia, Chengyi, 2017. "Inferring the reputation enhances the cooperation in the public goods game on interdependent lattices," Applied Mathematics and Computation, Elsevier, vol. 293(C), pages 18-29.
    13. Chen, Lei & Yue, Dong & Dou, Chunxia, 2019. "Optimization on vulnerability analysis and redundancy protection in interdependent networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 523(C), pages 1216-1226.
    14. Guido Caldarelli & Matthieu Cristelli & Andrea Gabrielli & Luciano Pietronero & Antonio Scala & Andrea Tacchella, 2012. "A Network Analysis of Countries’ Export Flows: Firm Grounds for the Building Blocks of the Economy," PLOS ONE, Public Library of Science, vol. 7(10), pages 1-11, October.
    15. Fariba Karimi & Matthias Raddant, 2016. "Cascades in Real Interbank Markets," Computational Economics, Springer;Society for Computational Economics, vol. 47(1), pages 49-66, January.
    16. Tang, Liang & Jing, Ke & He, Jie & Stanley, H. Eugene, 2016. "Robustness of assembly supply chain networks by considering risk propagation and cascading failure," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 459(C), pages 129-139.
    17. Tian, Yang & Tian, Hui & Cui, Yajuan & Zhu, Xuzhen & Cui, Qimei, 2023. "Influence of behavioral adoption preference based on heterogeneous population on multiple weighted networks," Applied Mathematics and Computation, Elsevier, vol. 446(C).
    18. Shang, Lihui & Zhao, Mingming & Ai, Jun & Su, Zhan, 2021. "Opinion evolution in the Sznajd model on interdependent chains," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 565(C).
    19. Doumen, Sjoerd C. & Nguyen, Phuong & Kok, Koen, 2022. "Challenges for large-scale Local Electricity Market implementation reviewed from the stakeholder perspective," Renewable and Sustainable Energy Reviews, Elsevier, vol. 165(C).
    20. Shogo Mizutaka & Kousuke Yakubo, 2017. "Structural instability of large-scale functional networks," PLOS ONE, Public Library of Science, vol. 12(7), pages 1-11, July.

    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:516:y:2019:i:c:p:105-113. 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.