  In this research, we propose a new model that allows to unify inflation,
deceleration and acceleration phases of expansion history in BIonic system. In
this model, in the beginning, there have been $k$ black fundamental strings
that transited to the BIon configuration at a corresponding point. At this
point, two universe brane and universe antibrane have been created, interacted
with each other via one wormhole and inflated. With decreasing temperature, the
energy of this wormhole flowed into universe branes and lead to inflation.
After a short time, wormhole died, inflation ended and deceleration epoch
started. With approaching two universe brane and antibrane together, tachyon
was born, grew and caused creation of one new wormhole. At this time, two
universe brane and antibrane connected again and late-time acceleration era of
the universe began. We compare our model with previous unified phantom model
and observational data and obtain some cosmological parameters like temperature
in terms of time. We also find that deceleration parameter is negative during
inflation and late-time acceleration epochs and positive during deceleration
era. This means that our model is consistent with previous prediction and
cosmological experiments.
