  We develop the equivalence between the two-dimensional Dirac oscillator and
the anti-Jaynes-Cummings model within a q-deformed scenario. We solve the
Hamiltonian spectrum and the time evolution for number and coherent initial
states, focusing on the appearance of the Zitterbewegung effect. We show the
lack of preservation of the q-deformed versions of the total angular momentum
that reproduces a collapse-revival structure. We provide suitable relations for
the non relativistic limit.
