We analyze mathematically and numerically a model derived in part 1 of this paper <Knabner et al., this issue>. The model deals with carrier-influenced transport and besides advective and dispersive transport and equilibrium and nonequilibrium sorption takes into account both carrier facilitation and cosorption. Guidelines are derived, whether the overall mobility is enhanced or reduced and various other properties of the model elucidated, in particular for varying carrier concentrations. We indicate how to modify existing numerical codes for the usual adsorption model and discuss simulations for experimental data sets. ¿ American Geophysical Union 1996