A shape theorem for an epidemic model in dimension $d\ge 3$

Details A shape theorem for an epidemic model in dimension $d\ge 3$ A shape theorem for an epidemic model in dimension $d\ge 3$

2011-10-04

arxiv.org/abs/1110.0801v1

Mathematics

Probability

Scientific paper

We prove a shape theorem for the set of infected individuals in a spatial
epidemic model with 3 states (susceptible-infected-recovered) on $\Z^d,d\ge 3$,
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.

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