  In this work we study a simple mathematical model to analyze the emergence
and control of radicalization phenomena. The population consisits of core and
sensitive subpopulations, and their ways of life may be at least partially
incompatible. In such a case, if a conflict exist, core agents act as
inflexible individuals about the issue. On the other hand, the sensitive agents
choose between two options: live peacefully with core population, or oppose it.
This kind of modeling was recently considered by Galam and Javarone (2016) with
constant pairwise couplings. Here, we consider the more general case with
time-dependent transition rates, with the aim of study the impact of such time
dependence on the critical behavior of the model. The analytical and numerical
results show that the nonequilibrium active-absorbing phase transition can be
suppressed in some cases, with the destruction of the absorbing phase where the
radical agents disappear of the population in the stationary states.
