  We investigate cosmological models with a linear inhomogeneous time-dependent
equation of state for the dark energy, coupled with dark matter, leading to a
bounce cosmology. Equivalent descriptions in terms of the equation-of-state
parameters for an exponential, a power-law, or a double exponential form of the
scale factor $a$ is obtained. The stability of the solutions is explored, by
considering small perturbations around the critical points for the bounce in
the early and in the late-time universe.
