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On the spread of viruses on the internet
Abstract
We analyze the contact process on random graphs generated according to the preferential attachment scheme as a model for the spread of viruses in the Internet. We show that any virus with a positive rate of spread from a node to its neighbors has a non-vanishing chance of becoming epidemic. Quantitatively, we discover an interesting dichotomy: for a virus with effective spread rate)~, if the infection starts at a typical vertex, then it de-O / I,,a(1/~),~ velops into an epidemic with probability A t ~ J, but on average the epidemic probability is A cO). 1
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Cited by
Epidemic thresholds in real networks
Chakrabarti, D., Wang, Y., Wang, C., Leskovec, J., & Faloutsos, C. (2008) · ACM Transactions on Information and System Security · doi:10.1145/1284680.1284681 · Cited by 787
Durrett, R. (2006) · Cambridge University Press eBooks · doi:10.1017/cbo9780511546594 · Cited by 780
Dynamics of information diffusion and its applications on complex networks
Zhang, Z.-K., Liu, C., Zhan, X.-X., Lu, X., Zhang, C.-X., & Zhang, Y.-C. (2016) · Physics Reports · doi:10.1016/j.physrep.2016.07.002 · Cited by 484
Metadata
- Authors
- Berger, N., Borgs, C., Chayes, J., & Saberi, A.
- Published
- 2005-01-23
- Pages
- 301-310
- DOI
- 10.5555/1070432.1070475
- OpenAlex
- W2065543353
- Cited by
- 183
- References
- 0
- FWCI
- 6.98
- Type
- journal article
- Language
- en
- Open access
- closed
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- Berger, N., Borgs, C., Chayes, J., & Saberi, A. (2005). On the spread of viruses on the internet. https://doi.org/10.5555/1070432.1070475
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.