Velocity and hierarchical spread of epidemic outbreaks in scale-free networks

Details Velocity and hierarchical spread of epidemic outbreaks in scale-free networks Velocity and hierarchical spread of epidemic outbreaks in scale-free networks

2003-11-21

arxiv.org/abs/cond-mat/0311501v2

Phys. Rev. Lett. 92, 178701 (2004)

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 4 figures, final version

Scientific paper

10.1103/PhysRevLett.92.178701

We study the effect of the connectivity pattern of complex networks on the propagation dynamics of epidemics. The growth time scale of outbreaks is inversely proportional to the network degree fluctuations, signaling that epidemics spread almost instantaneously in networks with scale-free degree distributions. This feature is associated with an epidemic propagation that follows a precise hierarchical dynamics. Once the highly connected hubs are reached, the infection pervades the network in a progressive cascade across smaller degree classes. The present results are relevant for the development of adaptive containment strategies.

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