Nature of the Epidemic Threshold for the Susceptible-Infected-Susceptible Dynamics in Networks
We develop an analytical approach to the susceptible-infected-susceptible epidemic model that allows us to unravel the true origin of the absence of an epidemic threshold in heterogeneous networks. We find that a delicate balance between the number of high degree nodes in the network and the topolog...
| Authors: | , , |
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| Format: | article |
| Status: | Published version |
| Publication Date: | 2013 |
| Country: | España |
| Institution: | Universidad de Barcelona |
| Repository: | Dipòsit Digital de la UB |
| OAI Identifier: | oai:diposit.ub.edu:2445/53287 |
| Online Access: | https://hdl.handle.net/2445/53287 |
| Access Level: | Open access |
| Keyword: | Epidemiologia Internet Xarxes socials Xarxes neuronals (Neurobiologia) Percolació (Física estadística) Termodinàmica Sistemes no lineals Epidemiology Social networks Neural networks (Neurobiology) Percolation (Statistical physics) Thermodynamics Nonlinear systems |
| Summary: | We develop an analytical approach to the susceptible-infected-susceptible epidemic model that allows us to unravel the true origin of the absence of an epidemic threshold in heterogeneous networks. We find that a delicate balance between the number of high degree nodes in the network and the topological distance between them dictates the existence or absence of such a threshold. In particular, small-world random networks with a degree distribution decaying slower than an exponential have a vanishing epidemic threshold in the thermodynamic limit. |
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