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BiFeO3 is a well-studied multiferroic material with distorted perovskite structure where electric polarization P parallel to [111] and cycloidal spin order with the propagation vector Q perpendicular to [111] directions (3-fold degenerate). Recently, an additional electric polarization P' acommpanied by Q has been observed, which is proposed to be applied to a 3-state memory devices. We study a model which includes spin interactions and anisotropies to represent the magnetism of BiFeO3, and analyzed the model using Monte Carlo as well as LLG methods. The model reproduces magnetization curves as well as electric polarizations as a function of magnetic fields (cross-correlation curves). Spurious polarizations created by domain wall structures are also observed, which explains exotic featrues of the cross-correlation curves observed in BiFeO3.