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Modelling the dynamics of disaster spreading in networks

Author

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  • 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
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    Citations

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    Cited by:

    1. 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.
    2. 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.
    3. 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).
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    9. 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).
    10. 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.
    11. 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).
    12. 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.
    13. 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.
    14. 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).
    15. 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.
    16. 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.
    17. 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.
    18. 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.
    19. 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.
    20. 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.

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