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Assessing interaction networks with applications to catastrophe dynamics and disaster management

Author

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  • Helbing, Dirk
  • Kühnert, Christian

Abstract

In this paper, we present a versatile method for the investigation of interaction networks and show how to use it to assess effects of indirect interactions and feedback loops. The method allows to evaluate the impact of optimization measures or failures on the system. Here, we will apply it to the investigation of catastrophes, in particular to the temporal development of disasters (catastrophe dynamics). The mathematical methods are related to the master equation, which allows the application of the well-known solution methods. We will also indicate connections of disaster management with excitable media and supply networks. This facilitates to study the effects of measures taken by the emergency management or the local operation units. With a fictious, but more or less realistic example of a spreading epidemic disease or a wave of influenza, we illustrate how this method can, in principle, provide decision support to the emergency management during such a disaster.

Suggested Citation

  • Helbing, Dirk & Kühnert, Christian, 2003. "Assessing interaction networks with applications to catastrophe dynamics and disaster management," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 328(3), pages 584-606.
  • Handle: RePEc:eee:phsmap:v:328:y:2003:i:3:p:584-606
    DOI: 10.1016/S0378-4371(03)00519-3
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    Citations

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    Cited by:

    1. Arnaud Mignan & Ziqi Wang, 2020. "Exploring the Space of Possibilities in Cascading Disasters with Catastrophe Dynamics," IJERPH, MDPI, vol. 17(19), pages 1-21, October.
    2. Su, Jia & Huang, Guangqiu, 2018. "Simulation and analysis of ecosystem vulnerability with cascading spread caused by dust migration based on object function GeoPetri net," Ecological Modelling, Elsevier, vol. 379(C), pages 54-72.
    3. Alexander Tselykh & Vladislav Vasilev & Larisa Tselykh & Fernando A. F. Ferreira, 2022. "Influence control method on directed weighted signed graphs with deterministic causality," Annals of Operations Research, Springer, vol. 311(2), pages 1281-1305, April.
    4. Dirk Helbing & Pratik Mukerji, "undated". "Crowd Disasters as Systemic Failures: Analysis of the Love Parade Disaster," Working Papers ETH-RC-12-010, ETH Zurich, Chair of Systems Design.
    5. 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.
    6. 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.
    7. Le-Le Zou & Yi-Ming Wei, 2010. "Driving factors for social vulnerability to coastal hazards in Southeast Asia: results from the meta-analysis," 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. 54(3), pages 901-929, September.

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