Epidemic Incidence in Correlated Complex Networks

Details Epidemic Incidence in Correlated Complex Networks Epidemic Incidence in Correlated Complex Networks

2003-09-19

arxiv.org/abs/cond-mat/0309462v1

Phys. Rev. E 68, 035103(R) (2003)

Physics

Condensed Matter

Statistical Mechanics

5 pages, 4 figures. Final version published in PRE

Scientific paper

10.1103/PhysRevE.68.035103

We introduce a numerical method to solve epidemic models on the underlying topology of complex networks. The approach exploits the mean-field like rate equations describing the system and allows to work with very large system sizes, where Monte Carlo simulations are useless due to memory needs. We then study the SIR epidemiological model on assortative networks, providing numerical evidence of the absence of epidemic thresholds. Besides, the time profiles of the populations are analyzed. Finally, we stress that the present method would allow to solve arbitrary epidemic-like models provided that they can be described by mean-field rate equations.

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