  In 2000, Giorgi Dvali, Gregory Gabadadze and Massimo Porrati (Dvali et al.
2000) was proposed a new braneworld model named as DGP model, having two
branches with $(\epsilon=+1)$ and $(\epsilon=-1)$. Former one $(~\epsilon=+1)$
known as the accelerating branch, i.e. accelerating phase of the universe can
be explained without adding cosmological constant or Dark energy, whereas later
one represents the decelerating branch. Here we have investigated the behavior
of decelerating branch $(i.e.~\epsilon=-1)$ of DGP model with Generalized Ghost
Dark Energy (GGDE). Aim of our study to find a stable solution of the universe
in DGP model. To find a stable solution we have studied the behavior of
different cosmological parameters such as Hubble parameter, equation of state
(EoS) parameter and deceleration parameter with respect to scale factor. Then
we have analysed the $\omega_{D}-\acute{\omega_{D}}$ to confirm no freezing
region of our present study and point out thawing region. Furthermore we have
checked the gradient of stability by calculating the squared sound speed. Then
we extend our study to check the viability of this model under investigation
through the analysis of statefinder diagnosis parameters for the present
cosmological setup.
