  The magnetic activity of solar-type stars generally increases with stellar
rotation rate. The increase, however, saturates for fast rotation. The
Babcock-Leighton mechanism of stellar dynamos saturates as well when the mean
tilt-angle of active regions approaches ninety degrees. Saturation of magnetic
activity may be a consequence of this property of the Babcock-Leighton
mechanism. Stellar dynamo models with a tilt-angle proportional to the rotation
rate are constructed to probe this idea. Two versions of the model - treating
the tilt-angles globally and using Joy's law for its latitude dependence - are
considered. Both models show a saturation of dynamo-generated magnetic flux at
high rotation rates. The model with latitude-dependent tilt-angles also shows a
change in dynamo regime in the saturation region. The new regime combines a
cyclic dynamo at low latitudes with an (almost) steady polar dynamo.
