Interacting scalar and spinor fields in bianchi type I universe filled with magneto-fluid

Self-consistent system of spinor, scalar and BI gravitational fields in presence of magnetofluid and Lambda term is considered. Assuming that the expansion of the BI universe is proportional to the sigma(1)(1) component of the shear tensor, exact solutions for the metric functions, as well as for scalar and spinor fields are obtained. For a non-positive Lambda, the initially anisotropic space-time becomes isotropic one in the process of expansion; whereas for Lambda > 0, an oscillatory mode of expansion of the BI model occurs.