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Epidemic spreading in correlated complex networks
Open accessAbstract
We study a dynamical model of epidemic spreading on complex networks in which there are explicit correlations among the node's connectivities. For the case of Markovian complex networks, showing only correlations between pairs of nodes, we find an epidemic threshold inversely proportional to the largest eigenvalue of the connectivity matrix that gives the average number of links, which from a node with connectivity k go to nodes with connectivity k('). Numerical simulations on a correlated growing network model provide support for our conclusions.
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Citations
Cites
Emergence of Scaling in Random Networks
Barabási, A.-L., & Albert, R. (1999) · Science · doi:10.1126/science.286.5439.509 · Cited by 36,135
Large-scale topological and dynamical properties of the Internet
Vázquez, A., Pastor-Satorras, R., & Vespignani, A. (2002) · Physical Review E · doi:10.1103/physreve.65.066130 · Cited by 712
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Cited by
The Structure and Function of Complex Networks
Newman, M. E. J. (2003) · SIAM Review · doi:10.1137/s003614450342480 · Cited by 18,719
Complex networks: structure and dynamics
BOCCALETTI, S., LATORA, V, MORENO, Y., CHAVEZ, M., & HWANG, D. (2006) · Physics Reports · doi:10.1016/j.physrep.2005.10.009 · Cited by 11,010
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
Critical phenomena in complex networks
Dorogovtsev, S. N., Goltsev, A. V., & Mendes, J. F. F. (2008) · Reviews of Modern Physics · doi:10.1103/revmodphys.80.1275 · Cited by 2,220
Metadata
- Authors
- Boguñá, M., & Pastor-Satorras, R.
- Venue
- Physical Review E
- Publisher
- American Physical Society (APS)
- Published
- 2002-10-21
- Volume
- 66
- Issue
- 4
- Pages
- 047104-047104
- ISSN
- 1063-651X (ISSN-L)
- 1095-3787
- OpenAlex
- W2038063928
- Cited by
- 559
- References
- 2
- FWCI
- 8.99
- Type
- journal article
- Language
- en
- Open access
- green
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