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Article Dans Une Revue Physical Review Letters Année : 2022

Clusters in an Epidemic Model with Long-Range Dispersal

Résumé

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.
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Dates et versions

hal-03795489 , version 1 (04-10-2022)

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Xiangyu Cao, Pierre Le Doussal, Alberto Rosso. Clusters in an Epidemic Model with Long-Range Dispersal. Physical Review Letters, 2022, 129 (10), pp.108301. ⟨10.1103/PhysRevLett.129.108301⟩. ⟨hal-03795489⟩
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