MODELING THE DYNAMICS OF DISASTER SPREADING FROM KEY NODES IN COMPLEX NETWORKS
Wen Guo Weng (),
Shun Jiang Ni,
Hong Yong Yuan and
Wei Cheng Fan
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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
International Journal of Modern Physics C (IJMPC), 2007, vol. 18, issue 05, 889-901
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.
Keywords: Disaster spreading; key nodes; complex network; 05.45.-a; 89.75.-k; 05.70.Fh (search for similar items in EconPapers)
Date: 2007
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DOI: 10.1142/S0129183107010619
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