  In the present paper, we study a toy cosmological model derived from the
specific behavior of the Hubble parameter and the scale factor in a
spatially-flat Friedmann-Robertson-Walker (FRW) space-time. We demonstrate that
our model could match in some approximation the complete history of cosmic
expansion. To establish the appropriate values of the the model parameters,
that is to fit the real universe, we apply some theoretical and observational
tests.
