IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v363y2006i1p132-140.html
   My bibliography  Save this article

Modelling the dynamics of disaster spreading in networks

Author

Listed:
  • Buzna, Lubos
  • Peters, Karsten
  • Helbing, Dirk

Abstract

We present a model for the dynamic spreading of failures in networked systems. The model combines network nodes as active, bistable elements and delayed interactions along directed links. By means of simulations, we explore the time-dependent spreading and cascade failures in different network topologies.

Suggested Citation

  • Buzna, Lubos & Peters, Karsten & Helbing, Dirk, 2006. "Modelling the dynamics of disaster spreading in networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 363(1), pages 132-140.
    • Handle: RePEc:eee:phsmap:v:363:y:2006:i:1:p:132-140
    DOI: 10.1016/j.physa.2006.01.059
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437106000987
    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.2006.01.059?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.

    Citations

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


    Cited by:

    1. Zhao, Laijun & Wang, Xiaoli & Qiu, Xiaoyan & Wang, Jiajia, 2013. "A model for the spread of rumors in Barrat–Barthelemy–Vespignani (BBV) networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(21), pages 5542-5551.
    2. He, Xiang & Yuan, Yongbo, 2022. "Revisiting driving factor influences on uncertain cascading disaster evolutions: From perspective of global sensitivity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 597(C).
    3. Zhao, Laijun & Wang, Qin & Cheng, Jingjing & Chen, Yucheng & Wang, Jiajia & Huang, Wei, 2011. "Rumor spreading model with consideration of forgetting mechanism: A case of online blogging LiveJournal," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(13), pages 2619-2625.
    4. Barker, Kash & Haimes, Yacov Y., 2009. "Assessing uncertainty in extreme events: Applications to risk-based decision making in interdependent infrastructure sectors," Reliability Engineering and System Safety, Elsevier, vol. 94(4), pages 819-829.
    5. Yacov Y. Haimes & Kenneth Crowther & Barry M. Horowitz, 2008. "Homeland security preparedness: Balancing protection with resilience in emergent systems," Systems Engineering, John Wiley & Sons, vol. 11(4), pages 287-308, December.
    6. Chen, Yingzhen & Zhao, Qiuhong & Huang, Kai & Xi, Xunzhuo, 2022. "A Bi-objective optimization model for contract design of humanitarian relief goods procurement considering extreme disasters," Socio-Economic Planning Sciences, Elsevier, vol. 81(C).
    7. Jinxian Li & Yanping Hu & Zhen Jin, 2019. "Rumor Spreading of an SIHR Model in Heterogeneous Networks Based on Probability Generating Function," Complexity, Hindawi, vol. 2019, pages 1-15, June.
    8. Feng, Jian Rui & Yu, Guanghui & Zhao, Mengke & Zhang, Jiaqing & Lu, Shouxiang, 2022. "Dynamic risk assessment framework for industrial systems based on accidents chain theory: The case study of fire and explosion risk of UHV converter transformer," Reliability Engineering and System Safety, Elsevier, vol. 228(C).
    9. Zhang, Yanzi & Diabat, Ali & Zhang, Zhi-Hai, 2021. "Reliable closed-loop supply chain design problem under facility-type-dependent probabilistic disruptions," Transportation Research Part B: Methodological, Elsevier, vol. 146(C), pages 180-209.
    10. Li, Jian & Chen, Changkun, 2014. "Modeling the dynamics of disaster evolution along causality networks with cycle chains," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 401(C), pages 251-264.
    11. Wouter Vermeer & Otto Koppius & Peter Vervest, 2018. "The Radiation-Transmission-Reception (RTR) model of propagation: Implications for the effectiveness of network interventions," PLOS ONE, Public Library of Science, vol. 13(12), pages 1-21, December.
    12. Zhao, Laijun & Qiu, Xiaoyan & Wang, Xiaoli & Wang, Jiajia, 2013. "Rumor spreading model considering forgetting and remembering mechanisms in inhomogeneous networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(4), pages 987-994.
    13. Aura Reggiani, 2022. "The Architecture of Connectivity: A Key to Network Vulnerability, Complexity and Resilience," Networks and Spatial Economics, Springer, vol. 22(3), pages 415-437, September.
    14. Chao Zhang & Jiansong Wu & Chao Huang & Bo Jiang, 2018. "A model for the representation of emergency cases," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 91(1), pages 337-351, March.
    15. He, Zhidong & Van Mieghem, Piet, 2018. "The spreading time in SIS epidemics on networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 494(C), pages 317-330.
    16. M. Budimir & P. Atkinson & H. Lewis, 2014. "Earthquake-and-landslide events are associated with more fatalities than earthquakes alone," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 72(2), pages 895-914, June.
    17. Lu, Qing-Chang & Li, Jing & Xu, Peng-Cheng & Zhang, Lei & Cui, Xin, 2024. "Modeling cascading failures of urban rail transit network based on passenger spatiotemporal heterogeneity," Reliability Engineering and System Safety, Elsevier, vol. 242(C).
    18. Zhang, Zi-li & Zhang, Zi-qiong, 2009. "An interplay model for rumour spreading and emergency development," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(19), pages 4159-4166.
    19. Huo, Liang-an & Huang, Peiqing & Fang, Xing, 2011. "An interplay model for authorities’ actions and rumor spreading in emergency event," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(20), pages 3267-3274.
    20. Chen, Zhichao & Zheng, Changjiang & Tao, Tongtong & Wang, Yanyan, 2024. "Reliability analysis of urban road traffic network under targeted attack strategies considering traffic congestion diffusion," Reliability Engineering and System Safety, Elsevier, vol. 248(C).
    21. Zhiru Wang & Ran S. Bhamra & Min Wang & Han Xie & Lili Yang, 2020. "Critical Hazards Identification and Prevention of Cascading Escalator Accidents at Metro Rail Transit Stations," IJERPH, MDPI, vol. 17(10), pages 1-20, May.
    22. Huang, Wencheng & Zhou, Bowen & Yu, Yaocheng & Sun, Hao & Xu, Pengpeng, 2021. "Using the disaster spreading theory to analyze the cascading failure of urban rail transit network," Reliability Engineering and System Safety, Elsevier, vol. 215(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:363:y:2006:i:1:p:132-140. 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.

    We have no bibliographic references for this item. You can help adding them by using 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.