Evolution of the interacting viscous dark energy model in Einstein cosmology

In this paper we investigate the evolution of the viscous dark energy (DE) interacting with the dark matter (DM) in the Einstein cosmology model. Using the linearizing theory of the dynamical system, we find, in our model, there exists a stable late time scaling solution which corresponds to the accelerating universe, and we also find the unstable solution under some appropriate parameters. In order to alleviate the coincidence problem, some authors considered the effect of quantum correction due to the conform anomaly and the interacting dark energy model. But if we take into account the bulk viscosity of the cosmic fluid, the coincidence problem will be softened just like the interacting dark energy cosmology model. That's to say, both the non-perfect fluid model and the interacting models of the dark energy can alleviate or soften the singularity of the universe.