  Agegraphic dark energy, has been recently proposed, based on the so-called
Karolyhazy uncertainty relation, which arises from quantum mechanics together
with general relativity. In the first part of the article we study the original
agegraphic dark energy model by including the interaction between agegraphic
dark energy and pressureless (dark) matter. The phase space analysis was made
and the critical points were found, one of which is the attractor corresponding
to an accelerated expanding Universe.
  Recent observations of near supernova show that the acceleration of Universe
decreases. This phenomenon is called the transient acceleration. In the second
part of Article 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 observations.
