  The susperscaling model SuSAv2, already available for charged-current
neutrino-nucleus cross sections in the quasielastic region, is extended to the
full inelastic regime. In the model the resonance production and deep inelastic
reactions are described through the extension to the neutrino sector of the
SuSAv2 inelastic model developed for ($e,e'$) reactions, which combines
phenomenological structure functions with a nuclear scaling function. This work
also compares two different descriptions of the $\Delta$ resonance region, one
based on a global scaling function for the full inelastic spectrum and the
other on a semi-phenomenological $\Delta$ scaling function extracted from
($e,e'$) data for this specific region and updated with respect to previous
work. The results of the model are tested against ($e,e'$) data on $^{12}$C,
$^{16}$O, $^{40}$Ca and $^{40}$Ar and applied to the study of the charged
current inclusive neutrino cross-section on $^{12}$C and $^{40}$Ar measured by
the T2K, MicroBooNE, ArgoNEUT and MINERvA experiments, thus covering several
kinematical regions.
