Issue Eur. Phys. J. B Volume 38, Number 2, March II 2004 Applications of Networks Page(s) 269 - 276 Section Biological Systems DOI 10.1140/epjb/e2004-00119-8 Published online 14 May 2004

Eur. Phys. J. B 38, 269-276 (2004)
DOI: 10.1140/epjb/e2004-00119-8

Immunization and epidemic dynamics in complex networks

N. Madar¹, T. Kalisky¹, R. Cohen^{1, 2}, D. ben-Avraham³ and S. Havlin<sup>1

1</sup>  Minerva Center and Department of Physics, Bar-Ilan University, Ramat-Gan, 52900, Israel
²  Department of Computer Science and Applied Mathematics, Weizmann Institute of Science, Rehovot 76100, Israel
³  Department of Physics, Clarkson University, Potsdam NY 13699-5820, USA

cohenr@shoshi.ph.biu.ac.il

(Received 3 November 2003 / Published online 14 May 2004)

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.

PACS
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 .

© EDP Sciences, Società Italiana di Fisica, Springer-Verlag 2004

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