Epidemic dynamics and endemic states in complex networks

Details Epidemic dynamics and endemic states in complex networks Epidemic dynamics and endemic states in complex networks

2001-02-02

arxiv.org/abs/cond-mat/0102028v2

Phys. Rev. E 63, 066117 (2001)

Physics

Condensed Matter

Statistical Mechanics

9 pages, RevTex style, 10 EPS figures; Updated references

Scientific paper

10.1103/PhysRevE.63.066117

We study by analytical methods and large scale simulations a dynamical model for the spreading of epidemics in complex networks. In networks with exponentially bounded connectivity we recover the usual epidemic behavior with a threshold defining a critical point below which the infection prevalence is null. On the contrary, on a wide range of scale-free networks we observe the absence of an epidemic threshold and its associated critical behavior. This implies that scale-free networks are prone to the spreading and the persistence of infections whatever spreading rate the epidemic agents might possess. These results can help understanding computer virus epidemics and other spreading phenomena on communication and social networks.

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