  We study the properties of the mass gap for monopole solutions in SU(2)
Yang-Mills theory with a source of the non-Abelian gauge field in the form of a
spinor field described by the nonlinear Dirac equation. Different types of
nonlinearities parameterized by the parameter $\lambda$ are under
consideration. It is shown that for the range of values of this parameter
studied in the present paper the value of the mass gap depends monotonically on
this parameter, and the position of the mass gap does not practically depend on
$\lambda$.
