Immunization and epidemic dynamics in complex networks |
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| Authors: | N. Madar T. Kalisky R. Cohen D. ben-Avraham S. Havlin |
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| Affiliation: | (1) Minerva Center and Department of Physics, Bar-Ilan University, 52900 Ramat-Gan, Israel;(2) Department of Computer Science and Applied Mathematics, Weizmann Institute of Science, 76100 Rehovot, Israel;(3) Department of Physics, Clarkson University, NY 13699-5820 Potsdam, USA |
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| Abstract: | We study the behavior of epidemic spreading in networks, and, in particular, scale free networks. We use the Susceptible-Infected-Removed (SIR) epidemiological model. We give simulation results for the dynamics of epidemic spreading. By mapping the model into a static bond-percolation model we derive analytical results for the total number of infected individuals. We study this model with various immunization strategies, including random, targeted and acquaintance immunization.Received: 3 November 2003, Published online: 14 May 2004PACS: 02.50.Cw Probability theory - 02.10.Ox Combinatorics; graph theory - 89.20.Hh World Wide Web, Internet - 64.60.-i General studies of phase transitions |
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