  We analyse the influence of diagonal disorder (random site energy) on Charge
Density Wave (CDW) and Superconductivity (SS) in local pair systems which are
described by the model of hard core charged bosons on a lattice. This problem
was previously studied within the mean field approximation for the case of half
filled band (n = 1). Here we extend that investigation to the case of arbitrary
particle concentration (0 < n < 2) and examine the phase diagrams of the model
and the behaviour of superfluid density as a function of n and the increasing
disorder. Depending on the strength of random on-site energies, the intersite
density-density repulsion and the concentration the model can exhibit several
various phases, including homogeneous phases: CDW, SS and Bose-glass (NO) as
well as the phase separated states: CDW-SS, CDW-NO and particle droplets. The
obtained results for SS phase are in qualitative agreement with the available
Monte Carlo calculations for two dimensional lattice. Also, in a definite range
of parameters the system exhibits the phenomena which we call a disorder
induced superconductivity and a disorder induced charge ordering.
