  In this paper, we propose a new approach to study the dark sector of the
universe by considering the dark energy as emerging a q-deformed bosonic scalar
field which is not only interacting with the dark matter, but also
non-minimally coupled to gravity, in the framework of standard Einsteinian
gravity. In order to analyze the dynamic of the system, we first give the
quantum field theoretical description of the q-deformed scalar field dark
energy, then construct the action and the dynamical structure of these
interacting and non-minimally coupled dark sector. As a second issue, we
perform the phase space analysis of the model to check the reliability of our
proposal by searching the stable attractor solutions implying the late-time
accelerating expansion phase of the universe.
