  We study the asymptotic behavior of the solutions related to a singularly
perturbed q-difference-differential problem in the complex domain. The analytic
solution can be splitted according to the nature of the equation and its
geometry so that both, Gevrey and q-Gevrey asymptotic phenomena are observed
and can be distinguished, relating the analytic and the formal solution.
  The proof leans on a two level novel version of Ramis-Sibuya theorem under
Gevrey and q-Gevrey orders.
