My research interest concentrates on non-traditional applications of physics. I try to adopt ideas from statistical physics (percolation theory and random graphs) to economy and banking. Percolating systems are very interesting from physical point of view because they belong to systems where phase transition is observed. Properties of these systems change distinctly when such a transition occurs. We suggest a new directed percolation model as a simple representation of contagion process and mass bankruptcies in banking system. Results of computer simulations for the universal profile of bankruptcies spreading are in a qualitative agreement with bank suspensions during The Great Depression in USA.