  Nonequilibrium phase transition properties of the $\pm J$ Ising model under a
time dependent oscillating perturbation are investigated within the framework
of effective field theory for a two-dimensional square lattice. After a
detailed analysis, it is found that the studied system exhibits unusual and
interesting behaviors such as reentrant phenomena, and the competition between
ferromagnetic and antiferromagnetic exchange interactions gives rise to
destruct the dynamic first order phase transitions as well as dynamic
tricritical points. Furthermore, according to N\'{e}el nomenclature, the
magnetization profiles have been found to obey Q-type, L-type and P-type
classification schemes under certain conditions. Finally, it is observed that
the treatment of critical percolation with applied field amplitude strongly
depends upon the frequency of time varying external field.
