  The paper presents a study of a solar dynamo model operating in the bulk of
the convection zone with the toroidal magnetic field flux concentrated in the
subsurface rotational shear layer. We explore how this type of dynamo may
depend on spatial variations of turbulent parameters and on the differential
rotation near the surface. The mean-field dynamo model takes into account the
evolution of magnetic helicity and describes its nonlinear feedback on the
generation of large-scale magnetic field by the $\alpha$-effect. We compare the
magnetic cycle characteristics predicted by the model, including the cycle
asymmetry (associated with the growth and decay times) and the duration -
amplitude relation (Waldmeier's effects), with the observed sunspot cycle
properties. We show that the model qualitatively reproduces the basic
properties of the solar cycles.
