The DOI matches its Crossref record; 43 of the 43 references it cites were found in a registry or an index.
Discrete-time Markov chain approach to contact-based disease spreading in complex networks
Open accessAbstract
Many epidemic processes in networks spread by stochastic contacts among their connected vertices. There are two limiting cases widely analyzed in the physics literature, the so-called contact process (CP) where the contagion is expanded at a certain rate from an infected vertex to one neighbor at a time, and the reactive process (RP) in which an infected individual effectively contacts all its neighbors to expand the epidemics. However, a more realistic scenario is obtained from the interpolation between these two cases, considering a certain number of stochastic contacts per unit time. Here we propose a discrete-time formulation of the problem of contact-based epidemic spreading. We resolve a family of models, parameterized by the number of stochastic contact trials per unit time, that range from the CP to the RP. In contrast to the common heterogeneous mean-field approach, we focus on the probability of infection of individual nodes. Using this formulation, we can construct the whole phase diagram of the different infection models and determine their critical properties.
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Cites
The Structure and Function of Complex Networks
Newman, M. E. J. (2003) · SIAM Review · doi:10.1137/s003614450342480 · Cited by 18,719
Phase Transitions and Critical Phenomena
(2016) · Statistical and Thermal Physics · doi:10.1201/9781439850541-13 · Cited by 11,176
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
Self-citationInfectious Diseases of Humans: Dynamics and Control
(1992) · Annals of Internal Medicine · doi:10.7326/0003-4819-117-2-174_4 · Cited by 7,746
The Mathematics of Infectious Diseases
Hethcote, H. W. (2000) · SIAM Review · doi:10.1137/s0036144500371907 · Cited by 6,687
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
The architecture of complex weighted networks
Barrat, A., Barthélemy, M., Pastor-Satorras, R., & Vespignani, A. (2004) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.0400087101 · Cited by 4,218
Introduction to Phase Transitions and Critical Phenomena
Stanley, H. E., & Ahlers, G. (1973) · Physics Today · doi:10.1063/1.3127900 · Cited by 3,629
Spread of epidemic disease on networks
Newman, M. E. J. (2002) · Physical Review E · doi:10.1103/physreve.66.016128 · Cited by 3,218
Barabási, A.-L., & Bonabeau, E. (2003) · Scientific American · doi:10.1038/scientificamerican0503-60 · Cited by 2,494
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
The 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
Networks beyond pairwise interactions: Structure and dynamics
Battiston, F., Cencetti, G., Iacopini, I., Latora, V., Lucas, M., Patania, A., Young, J.-G., & Petri, G. (2020) · Physics Reports · doi:10.1016/j.physrep.2020.05.004 · Cited by 1,602
Dynamical Interplay between Awareness and Epidemic Spreading in Multiplex Networks
Granell, C., Gómez, S., & Arenas, A. (2013) · Physical Review Letters · doi:10.1103/physrevlett.111.128701 · Cited by 1,064
Self-citationThresholds for Epidemic Spreading in Networks
Castellano, C., & Pastor-Satorras, R. (2010) · Physical Review Letters · doi:10.1103/physrevlett.105.218701 · Cited by 721
Metadata
- Authors
- Gómez, S., Arenas, A., Borge-Holthoefer, J., Meloni, S., & Moreno, Y.
- Venue
- EPL (Europhysics Letters)
- Publisher
- IOP Publishing
- Published
- 2010-02-01
- Volume
- 89
- Issue
- 3
- Pages
- 38009
- ISSN
- 0295-5075 (ISSN-L)
- 1286-4854
- OpenAlex
- W1973031742
- Cited by
- 571
- References
- 43
- FWCI
- 10.86
- Type
- journal article
- Language
- en
- Open access
- green
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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