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Modeling The Dynamics Of Disaster Spreading From Key Nodes In Complex Networks

Author

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  • WEN GUO WENG

    (Center for Public Safety Research, Department of Engineering Physics, Tsinghua University, Beijing, 100084, P. R. China)

  • SHUN JIANG NI

    (Center for Public Safety Research, Department of Engineering Physics, Tsinghua University, Beijing, 100084, P. R. China)

  • HONG YONG YUAN

    (Center for Public Safety Research, Department of Engineering Physics, Tsinghua University, Beijing, 100084, P. R. China)

  • WEI CHENG FAN

    (Center for Public Safety Research, Department of Engineering Physics, Tsinghua University, Beijing, 100084, P. R. China)

Abstract

In this paper, we present the dynamics of disaster spreading from key nodes in complex networks. The key nodes have maximum and minimum out-degree nodes, which show important in spreading disaster. This paper considers directed Erdös–Rényi, scale-free and small-world networks. Using the model considering the common characteristics of infrastructure and lifeline networks, i.e., self-healing function and disaster spreading mechanism, we carry out simulations for the effects of the recovery time parameter and the time delay on the recovery rate and the number of damaged nodes. Simulation results show some typical disaster spreading characteristics, e.g., a non-equilibrium phase transition in the parameter space, disturbance from the maximum out-degree nodes resulting in more damaged effect, etc.

Suggested Citation

  • Wen Guo Weng & Shun Jiang Ni & Hong Yong Yuan & Wei Cheng Fan, 2007. "Modeling The Dynamics Of Disaster Spreading From Key Nodes In Complex Networks," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 18(05), pages 889-901.
    • Handle: RePEc:wsi:ijmpcx:v:18:y:2007:i:05:n:s0129183107010619
    DOI: 10.1142/S0129183107010619
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    Cited by:

    1. 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).

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