DGP scenario, we can find that the pressure of dark energy from the gravity leakage of the extra dimensions is large enough at low redshifts. Therefore, the SEC is always violated until the end of the universe.

In what follows, it is very necessary and constructive to study the behaviors of different energy conditions on the astrophysical scale, namely the effects of different energy conditions on wormhole space–time configurations. Here, we just take into account the case of a constant redshift function, using the EoS parameter from Eq. (\[8\]) and Eq. (\[11\]), and we can express conveniently the NEC in the following manner: $$p+\rho=-\frac{1}{r^2}\left(\frac{1}{\omega_{eff}(z)}+1\right)\geqslant0. \label{23}$$ In Fig. \[f7\], we could find that the NEC violation is closely related to the dimension of the traversable wormhole and that the NEC violation occurs at a very small order of magnitude at low redshifts ($\sim$$10^{-6}$). To understand the size-dependent property of the traversable wormhole better, we depict the size-dependent behaviors of different energy conditions in Fig. \[f8\] at the present epoch (i.e., $\omega_{eff}(0)=-1.074$). It is easy to find that the behaviors of different energy conditions on the astrophysical scale is compatible with those on the cosmological scale. Moreover, with the gradually increasing radius 