  We propose a new continuum model for a random genetic drift problem by
employing a dynamical boundary condition approach. The new model can be viewed
as a regularized Kimura equation, which admits a continuous solution and
recovers the original system in the limits. The existence and uniqueness of the
strong solution of the regularized system are shown. Finally, we present some
numerical results for the regularized model, which indicates that the model can
capture the main features of the original model.
