Epidemic dynamics in finite size scale-free networks

Details Epidemic dynamics in finite size scale-free networks Epidemic dynamics in finite size scale-free networks

2002-02-18

arxiv.org/abs/cond-mat/0202298v1

Phys. Rev. E. 65, 035108(R) (2002)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 2 eps figures

Scientific paper

10.1103/PhysRevE.65.035108

Many real networks present a bounded scale-free behavior with a connectivity cut-off due to physical constraints or a finite network size. We study epidemic dynamics in bounded scale-free networks with soft and hard connectivity cut-offs. The finite size effects introduced by the cut-off induce an epidemic threshold that approaches zero at increasing sizes. The induced epidemic threshold is very small even at a relatively small cut-off, showing that the neglection of connectivity fluctuations in bounded scale-free networks leads to a strong over-estimation of the epidemic threshold. We provide the expression for the infection prevalence and discuss its finite size corrections. The present work shows that the highly heterogeneous nature of scale-free networks does not allow the use of homogeneous approximations even for systems of a relatively small number of nodes.

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