Epidemic Threshold in Structured Scale-Free Networks
Top Cited Papers
- 16 August 2002
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 89 (10) , 108701
- https://doi.org/10.1103/physrevlett.89.108701
Abstract
We analyze the spreading of viruses in scale-free networks with high clustering and degree correlations, as found in the Internet graph. For the susceptible-infected-susceptible model of epidemics the prevalence undergoes a phase transition at a finite threshold of the transmission probability. Comparing with the absence of a finite threshold in networks with purely random wiring, our result suggests that high clustering (modularity) and degree correlations protect scale-free networks against the spreading of viruses. We introduce and verify a quantitative description of the epidemic threshold based on the connectivity of the neighborhoods of the hubs.Keywords
All Related Versions
This publication has 19 references indexed in Scilit:
- Highly clustered scale-free networksPhysical Review E, 2002
- Statistical mechanics of complex networksReviews of Modern Physics, 2002
- Dynamical and Correlation Properties of the InternetPhysical Review Letters, 2001
- Infection dynamics on scale-free networksPhysical Review E, 2001
- Critical behavior of propagation on small-world networksPhysical Review E, 2001
- How Viruses Spread Among Computers and PeopleScience, 2001
- Epidemic Spreading in Scale-Free NetworksPhysical Review Letters, 2001
- On power-law relationships of the Internet topologyACM SIGCOMM Computer Communication Review, 1999
- The transmission dynamics of human immunodeficiency virus (HIV)Philosophical Transactions of the Royal Society of London. B, Biological Sciences, 1988
- Transmission dynamics of HIV infectionNature, 1987