  The axial anomaly in a quasi-one-dimensional (quasi-1D) chiral p-wave
superfluid model, which has a epsilon_{x} p_{x}+i epsilon_{y} p_{y}-wave gap in
2D is studied. The anomaly causes an accumulation of the quasiparticle and a
quantized chiral current density in an inhomogeneous magnetic field. These
effects are related to the winding number of the gap. By varying the parameters
epsilon_{x} and epsilon_{y}, the model could be applicable to Sr2RuO4 near the
second superconducting transition point, some quasi-1D organic superconductors
and the fractional quantum Hall state at nu = 5 / 2 Landau level filling
factor.
