  We study the critical properties of a model of information spreading based on
the SIS epidemic model. Spreading rates decay with time, as ruled by two
parameters, $\epsilon$ and $l$, that can be either constant or randomly
distributed in the population. The spreading dynamics is developed on top of
Erd\"os-Renyi networks. We present the mean-field analytical solution of the
model in its simplest formulation, and Monte Carlo simulations are performed
for the more heterogeneous cases. The outcomes show that the system undergoes a
nonequilibrium phase transition whose critical point depends on the parameters
$\epsilon$ and $l$. In addition, we conclude that the more heterogeneous the
population, the more favored the information spreading over the network.
