  The output signal is examined for the Jacobi neuronal model which is
characterized by input-dependent multiplicative noise. The dependence of the
noise on the rate of inhibition turns out to be of primary importance to
observe maxima both in the output firing rate and in the diffusion coefficient
of the spike count and, simultaneously, a minimum in the coefficient of
variation (Fano factor). Moreover, we observe that an increment of the rate of
inhibition can increase the degree of coherence computed from the power
spectrum. This means that inhibition can enhance the coherence and thus the
information transmission between the input and the output in this neuronal
model. Finally, we stress that the firing rate, the coefficient of variation
and the diffusion coefficient of the spike count cannot be used as the only
indicator of coherence resonance without considering the power spectrum.
