  The static properties of the fundamental model for epidemics of diseases
allowing immunity (susceptible-infected-removed model) are known to be
derivable by an exact mapping to bond percolation. Yet when performing
numerical simulations of these dynamics in a network a number of subtleties
must be taken into account in order to correctly estimate the transition point
and the associated critical properties. We expose these subtleties and identify
the different quantities which play the role of criticality detector in the two
dynamics.
