In this article, we study the effects of the atomic motion and the field-mode structure on
the entropies and entanglement of a generalized JC model. We have investigated different
forms of the intensity dependent function on the evolution of the entropies and entanglement
in the case of a coherent superposition state and a statistical mixture of coherent states as
the initial field states. We investigate the partial entropy of the atom and field subsystems
numerically. The setting of the initial state of the field-mode and the atomic motion plays
an important role in the evolution of the sub-entropies and entanglement.