  We consider a cosmology in which the final stage of the Universe is neither
accelerating nor decelerating, but approaches an asymptotic state where the
scale factor becomes a constant value. In order to achieve this, we first bring
in a scale factor with the desired property and then determine the details of
the energy contents as a result of the cosmological evolution equations. We
show that such a scenario can be realized if we introduce a generalized quintom
model which consists of a scalar field and a phantom with a {\it negative}
cosmological constant term. The standard cold dark matter with $w_m=0$ is also
introduced. This is possible basically due to the balance between the matter
and the {\it negative} cosmological constant which tend to attract and scalar
field and phantom which repel in the asymptotic region. The stability analysis
shows that this asymptotic solution is classically stable.
