  The inflationary phase of the Universe is explored by proposing a toy model
related to the scalar field, termed as {\it inflaton}. The potential part of
the energy density in the said era is assumed to have a constant vacuum energy
density part and a variable part containing the inflaton. The prime idea of the
proposed model constructed in the framework of the closed Universe is based on
a fact that the inflaton is the root cause of the orientation of the space.
According to this model the expansion of the Universe in the inflationary epoch
is not approximately rather exactly exponential in nature and thus it can solve
some of the fundamental puzzles, viz. flatness as well as horizon problems. It
is also predicted that the constant energy density part in the potential may be
associated to the dark energy, which is eventually different from the vacuum
energy, at least in the inflationary phase of the Universe. However, the model
keeps room for the end of inflationary era.
