  Recent observations of near supernova show that the acceleration expansion of
Universe decreases. This phenomenon is called the transient acceleration. In
the second part of work we consider the 3-component Universe composed of a
scalar field, interacting with the dark matter on the agegraphic dark energy
background. We show that the transient acceleration appears in frame of such a
model. The obtained results agree with the latest cosmological observations,
namely, the 557 SNIa sample (Union2) was released by the Supernova Cosmology
Project (SCP) Collaboration.
