Model of Communities Isolation at Hierarchical Modular Networks

P. Kondratiuk and J.A. Hołyst Faculty of Physics, Center of Excellence for Complex Systems Research, Warsaw University of Technology, Koszykowa 75, PL-00-662 Warsaw, Poland

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The model of community isolation was extended to the case when individuals are randomly placed at the nodes of hierarchical modular networks. It was shown that the average number of blocked nodes (individuals) increases in time as a power function, with the exponent depending on the network parameters. The distribution of the time when the first isolated cluster appears is unimodal, non-gaussian. The developed analytical approach is in a good agreement with the simulation data.

DOI: 10.12693/APhysPolA.121.B-67 PACS numbers: 89.75.Hc, 02.50.-r, 89.75.-k, 89.75.Da, 89.75.Fb