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Clusters in an epidemic model with long-range dispersal
- Publication Year :
- 2022
- Publisher :
- arXiv, 2022.
-
Abstract
- In presence of long range dispersal, epidemics spread in spatially disconnected regions known as clusters. Here, we characterize exactly their statistical properties in a solvable model, in both the supercritical (outbreak) and critical regimes. We identify two diverging length scales, corresponding to the bulk and the outskirt of the epidemic. We reveal a nontrivial critical exponent that governs the cluster number, the distribution of their sizes and of the distances between them. We also discuss applications to depinning avalanches with long range elasticity.<br />Comment: 19 pages, 8 figures; v2: added an application to the Covid-19 outbreak in the US; v3: minor changes, published version
- Subjects :
- Statistical Mechanics (cond-mat.stat-mech)
General Physics and Astronomy
FOS: Physical sciences
Disordered Systems and Neural Networks (cond-mat.dis-nn)
Mathematical Physics (math-ph)
Condensed Matter - Disordered Systems and Neural Networks
Epidemics
Condensed Matter - Statistical Mechanics
Mathematical Physics
Disease Outbreaks
Subjects
Details
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....479f5866ff5f411968399c5502336c93
- Full Text :
- https://doi.org/10.48550/arxiv.2203.14663