The DOI matches its Crossref record; 21 of the 21 references it cites were found in a registry or an index.
Epidemic spreading and cooperation dynamics on homogeneous small-world networks
Abstract
We introduce a class of small-world networks--homogeneous small-worlds--which, in contrast with the well-known Watts-Strogatz small-worlds, exhibit a homogeneous connectivity distribution, in the sense that all nodes have the same number of connections. This feature allows the investigation of pure small-world effects, detached from any associated heterogeneity. Furthermore, we use at profit the remarkable similarity between the properties of homogeneous small worlds and the heterogeneous small-worlds of Watts-Strogatz to assess the separate roles of heterogeneity and small-world effects. We investigate the dependence on these two mechanisms of the threshold for epidemic outbreaks and also of the coevolution of cooperators and defectors under natural selection. With respect to the well-studied regular homogeneous limits, we find a subtle interplay between these mechanisms. While they both contribute to reduce the threshold for an epidemic outburst, they exhibit opposite behavior in the evolution of cooperation, such that the overall results mask the true nature of their individual contribution to this process.
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Citations
Cites
Collective dynamics of ‘small-world’ networks
Watts, D. J., & Strogatz, S. H. (1998) · Nature · doi:10.1038/30918 · Cited by 43,060
Statistical mechanics of complex networks
Albert, R., & Barabási, A.-L. (2002) · Reviews of Modern Physics · doi:10.1103/revmodphys.74.47 · Cited by 20,471
Epidemic Spreading in Scale-Free Networks
Pastor-Satorras, R., & Vespignani, A. (2001) · Physical Review Letters · doi:10.1103/physrevlett.86.3200 · Cited by 5,731
Evolutionary games and spatial chaos
Nowak, M. A., & May, R. M. (1992) · Nature · doi:10.1038/359826a0 · Cited by 4,463
Specificity and Stability in Topology of Protein Networks
Maslov, S., & Sneppen, K. (2002) · Science · doi:10.1126/science.1065103 · Cited by 3,051
Scale-Free Networks Provide a Unifying Framework for the Emergence of Cooperation
Santos, F. C., & Pacheco, J. M. (2005) · Physical Review Letters · doi:10.1103/physrevlett.95.098104 · Cited by 1,804
Self-citationEpidemic dynamics and endemic states in complex networks
Pastor-Satorras, R., & Vespignani, A. (2001) · Physical Review E · doi:10.1103/physreve.63.066117 · Cited by 1,682
Dorogovtsev, S. N., & Mendes, J. F. F. (2003) · doi:10.1093/acprof:oso/9780198515906.001.0001 · Cited by 1,563
Gintis, H. (2009) · Princeton University Press eBooks · doi:10.2307/j.ctvcm4gjh · Cited by 876
Infection dynamics on scale-free networks
May, R. M., & Lloyd, A. L. (2001) · Physical Review E · doi:10.1103/physreve.64.066112 · Cited by 755
Cited by
Coevolution of Strategy and Structure in Complex Networks with Dynamical Linking
Pacheco, J. M., Traulsen, A., & Nowak, M. A. (2006) · Physical Review Letters · doi:10.1103/physrevlett.97.258103 · Cited by 697
Self-citationReputation-based partner choice promotes cooperation in social networks
Fu, F., Hauert, C., Nowak, M. A., & Wang, L. (2008) · Physical Review E · doi:10.1103/physreve.78.026117 · Cited by 682
Cooperation Prevails When Individuals Adjust Their Social Ties
Santos, F. C., Pacheco, J. M., & Lenaerts, T. (2006) · PLoS Computational Biology · doi:10.1371/journal.pcbi.0020140 · Cited by 556
“We start from a homogeneous random graph [28], in which all nodes have the same number of edges (z), randomly linked to arbitrary nodes.”
MethodSelf-citationInformation cascades in complex networks
Jalili, M., & Perc, M. (2017) · Journal of Complex Networks · doi:10.1093/comnet/cnx019 · Cited by 248
Repeated games and direct reciprocity under active linking
Pacheco, J. M., Traulsen, A., Ohtsuki, H., & Nowak, M. A. (2008) · Journal of Theoretical Biology · doi:10.1016/j.jtbi.2007.10.040 · Cited by 162
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Metadata
- Authors
- Santos, F. C., Rodrigues, J. F., & Pacheco, J. M.
- Venue
- Physical Review E
- Publisher
- American Physical Society (APS)
- Published
- 2005-11-23
- Volume
- 72
- Issue
- 5
- Pages
- 056128-056128
- ISSN
- 1539-3755 (ISSN-L)
- 1550-2376
- OpenAlex
- W2028065355
- Cited by
- 288
- References
- 21
- FWCI
- 7.66
- Type
- journal article
- Language
- en
- Open access
- closed
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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