https://doi.org/10.1140/epjb/e2004-00119-8
Immunization and epidemic dynamics in complex networks
1
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
Corresponding author: a cohenr@shoshi.ph.biu.ac.il
Received:
3
November
2003
Published online:
14
May
2004
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
