Abstract
We present quasistationary simulations of the two-dimensional contact process with
quenched disorder included through the random dilution of a fraction of the lattice sites
(these sites are not susceptible to infection). Our results strongly indicate that the
static exponents are independent of the immunization fraction. In addition, the
critical moment ratios deviate from the universal ratio
m = 1.328, observed for the non-diluted system, to smaller values due to rare favorable regions which
dominate the statistics.