Clusters in an Epidemic Model with Long-Range Dispersal - Archive ouverte HAL
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.
Fichier principal
Vignette du fichier
galton_watson-2.pdf (918.08 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)

Dates et versions

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

Identifiants

Citer

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⟩
32 Consultations
35 Téléchargements

Altmetric

Partager

More