  Recently introduced exact solution of the Einstein gravity coupled minimally
to an anisotropic fluid representing dark matter can well represent
supermassive black holes in galactic nuclei with realistic distribution of dark
matter around the black hole, given by the Hernquist-like density distribution.
For these fluid-hairy black hole spacetimes, properties of the gravitational
radiation, quasinormal ringing, and optical phenomena were studied, giving
interesting results. Here, using the range of physical parameters of these
spacetimes allowing for their relevance in astrophysics, we study the epicyclic
oscillatory motion of test particles in these spacetimes. The frequencies of
the orbital and epicyclic motion are applied in the epicyclic resonance variant
of the geodesic model of quasiperiodic oscillations (QPOs) observed in active
galactic nuclei to demonstrate the possibility to solve the cases where the
standard vacuum black hole spacetimes are not allowing for explanation of the
observed data. We demonstrate that the geodesic model can explain the QPOs
observed in most of the active galactic nuclei for the fluid-hairy black holes
with reasonable halo parameters.
