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Invasion Threshold in Heterogeneous Metapopulation Networks
Open accessAbstract
We study the dynamics of epidemic and reaction-diffusion processes in metapopulation models with heterogeneous connectivity patterns. In susceptible-infected-removed-like processes, along with the standard local epidemic threshold, the system exhibits a global invasion threshold. We provide an explicit expression of the threshold that sets a critical value of the diffusion/mobility rate below, which the epidemic is not able to spread to a macroscopic fraction of subpopulations. The invasion threshold is found to be affected by the topological fluctuations of the metapopulation network. The results presented provide a general framework for the understanding of the effect of travel restrictions in epidemic containment.
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Cites
How Viruses Spread Among Computers and People
Lloyd, A. L., & May, R. M. (2001) · Science · doi:10.1126/science.1061076 · Cited by 661
Cited by
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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-citationBarthélemy, M. (2011) · Physics Reports · doi:10.1016/j.physrep.2010.11.002 · Cited by 2,469
The Hidden Geometry of Complex, Network-Driven Contagion Phenomena
Brockmann, D., & Helbing, D. (2013) · Science · doi:10.1126/science.1245200 · Cited by 1,253
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
Returners and explorers dichotomy in human mobility
Pappalardo, L., Simini, F., Rinzivillo, S., Pedreschi, D., Giannotti, F., & Barabási, A.-L. (2015) · Nature Communications · doi:10.1038/ncomms9166 · Cited by 494
Metadata
- Authors
- Colizza, V., & Vespignani, A.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2007-10-05
- Volume
- 99
- Issue
- 14
- Pages
- 148701-148701
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2012308264
- Cited by
- 314
- References
- 1
- FWCI
- 9.39
- Type
- journal article
- Language
- en
- Open access
- green
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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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