  We investigate the nonequilibrium critical behavior of the contact process
with deterministic aperiodic temporal disorder implemented by choosing healing
or infection rates according to a family of aperiodic sequences based on the
quasiperiodic Fibonacci sequence. This family allows us to gauge the temporal
fluctuations via a wandering exponent $\omega$ and put our work in the context
of the Kinzel--Vojta--Dickman criterion for the relevance of temporal disorder
to the critical behavior of nonequilibrium models. By means of analytic and
numerical calculations, the generalized criterion is tested in the mean-field
limit.
