Absence of epidemic threshold in scale-free networks with degree correlations.
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Summary
This work provides for the susceptible-infected-susceptible model an exact result showing that a scale-free degree distribution with diverging second moment is a sufficient condition to have null epidemic threshold in unstructured networks with either assortative or disassortative mixing.
- Type
- article
- Published
- 2002-08-08
- Cited by
- 515
- References
- 18
- Access
- Open access
- OpenAlex
- https://openalex.org/W2023968886
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:3417009
Keywords
Degree (music), Scale-free network, Degree distribution, Scale (ratio), Statistical physics
References
- Handbook of Graphs and Networks: From the Genome to the Internet
- I and i
- Geography in a scale-free network model.
- Epidemic Thresholds on Scale-Free Graphs: the Interplay between Exponent and Preferential Choice
- Epidemic threshold in structured scale-free networks.
- Epidemic spreading in correlated complex networks.
- Assortative mixing in networks.
- The Theory of Matrices
- The theory of matrices
- Infectious Diseases of Humans
- AND T
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- A General Framework for Complex Network Applications
- Une modélisation évolutionniste du liage temporel
- Phase transitions for scaling of structural correlations in directed networks
- Explosive Synchronization and Emergence of Assortativity on Adaptive Networks
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- Modeling Diffusion in Social Networks Using Network Properties
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- An optimal strategy to suppress epidemic explosion in heterogeneous metapopulation networks
- Evolutionary Model for Virus Propagation on Networks
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- Exact Markovian SIR and SIS epidemics on networks and an upper bound for the epidemic threshold
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