  We have extended our previous mean-field galactic dynamo model which included
algebraic and dynamic alpha nonlinearities (Kleeorin et al., A&A, v. 387, 453,
2002), to include also a quenching of turbulent diffusivity. We readily obtain
equilibrium states for the large-scale magnetic field in the local disc dynamo
model, and these fields have strengths that are comparable to the equipartition
field strength. We find that the algebraic nonlinearity alone (i.e. quenching
of both the alpha effect and turbulent magnetic diffusion) cannot saturate the
growth of the mean magnetic field; only the combined effect of algebraic and
dynamic nonlinearities can limit the growth of the mean magnetic field.
However, in contrast to our earlier work without quenching of the turbulent
diffusivity, we cannot now find satisfactory solutions in the no-z
approximation to the axisymmetric galactic dynamo problem.
