Bibliographic Details
| Title: |
A shape theorem for an epidemic model in dimension $d\ge 3$ |
| Authors: |
Andjel, Enrique, Chabot, Nicolas, Saada, Ellen |
| Publication Year: |
2011 |
| Collection: |
Mathematics |
| Subject Terms: |
Mathematics - Probability |
| More Details: |
We prove a shape theorem for the set of infected individuals in a spatial epidemic model with 3 states (susceptible-infected-recovered) on ${\mathbb Z}^d,d\ge 3$, when there is no extinction of the infection. For this, we derive percolation estimates (using dynamic renormalization techniques) for a locally dependent random graph in correspondence with the epidemic model.
Comment: 39 pages; soumis |
| Document Type: |
Working Paper |
| Access URL: |
http://arxiv.org/abs/1110.0801 |
| Accession Number: |
edsarx.1110.0801 |
| Database: |
arXiv |
