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Virus Spread in Networks
Open accessAbstract
The influence of the network characteristics on the virus spread is analyzed in a new-theN-intertwined Markov chain-model, whose only approximation lies in the application of mean field theory. The mean field approximation is quantified in detail. TheN-intertwined model has been compared with the exact 2N-state Markov model and with previously proposed ldquohomogeneousrdquo or ldquolocalrdquo models. The sharp epidemic threshold tauc, which is a consequence of mean field theory, is rigorously shown to be equal to tauc= 1/(lambdamax(A)) , where lambdamax(A) is the largest eigenvalue-the spectral radius-of the adjacency matrixA. A continued fraction expansion of the steady-state infection probability at nodejis presented as well as several upper bounds.
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Cites
Error and attack tolerance of complex networks
Albert, R., Jeong, H., & Barabási, A.-L. (2000) · Nature · doi:10.1038/35019019 · Cited by 7,534
Cited by
Epidemic processes in complex networks
Pastor-Satorras, R., Castellano, C., Van Mieghem, P., & Vespignani, A. (2015) · Reviews of Modern Physics · doi:10.1103/revmodphys.87.925 · Cited by 3,697
Self-citationThe structure and dynamics of multilayer networks
Boccaletti, S., Bianconi, G., Criado, R., del Genio, C. I., Gómez-Gardeñes, J., Romance, M., Sendiña-Nadal, I., Wang, Z., & Zanin, M. (2014) · Physics Reports · doi:10.1016/j.physrep.2014.07.001 · Cited by 3,125
Statistical physics of vaccination
Wang, Z., Bauch, C. T., Bhattacharyya, S., d'Onofrio, A., Manfredi, P., Perc, M., Perra, N., Salathé, M., & Zhao, D. (2016) · Physics Reports · doi:10.1016/j.physrep.2016.10.006 · Cited by 872
Controllability Metrics, Limitations and Algorithms for Complex Networks
Pasqualetti, F., Zampieri, S., & Bullo, F. (2014) · IEEE Transactions on Control of Network Systems · doi:10.1109/tcns.2014.2310254 · Cited by 594
Metadata
- Authors
- Van Mieghem, P., Omic, J., & Kooij, R.
- Venue
- IEEE/ACM Transactions on Networking
- Published
- 2009-02
- Volume
- 17
- Issue
- 1
- Pages
- 1-14
- ISSN
- 1063-6692 (ISSN-L)
- 1558-2566
- OpenAlex
- W2118820208
- Cited by
- 1,040
- References
- 1
- FWCI
- 8.64
- Type
- journal article
- Language
- en
- Open access
- green
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- Van Mieghem, P., Omic, J., & Kooij, R. (2009). Virus Spread in Networks. IEEE/ACM Transactions on Networking. https://doi.org/10.1109/tnet.2008.925623
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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.
