  Brownian snails with removal is a spatial epidemic model defined as follows.
Initially, a homogeneous Poisson process of susceptible particles on $\mathbb
R^d$ with intensity $\lambda>0$ is deposited and a single infected one is added
at the origin. Each particle performs an independent standard Brownian motion.
Each susceptible particle is infected immediately when it is within distance 1
from an infected particle. Each infected particle is removed at rate
$\alpha>0$, and removed particles remain such forever. Answering a question of
Grimmett and Li, we prove that in one dimension, for all values of $\lambda$
and $\alpha$, the infection almost surely dies out.
