The spreading of a globally distributed damage, created in the stationary regime, is studied in single component irreversible reaction processes on one-dimensional lattices. Each model exhibits an irreversible phase transition between a stationary reactive state and an inactive (absorbing) state. It is found that the processes are immune in the sense that even 100% of initial damage is healed within a finite healing period (T H ). Within the reactive regime, T H diverges when approaching criticality and the corresponding exponent is independent of the process, i.e. it seems to be universal for one-component systems.