Bounce Universe Induced by an Inhomogeneous Dark Fluid Coupled with Dark Matter

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.