The common barberry, Berberis vulgaris, its horticultural varieties and Berberis, Mahonia and Mahoberberis (commonly known as mahonias, hollygrapes, holly barberries or Oregon grapes), are hereby declared to be public nuisances and the propagation, growth, movement or possession of said plants, including cuttings, stalks, scions, buds, fruits, seeds, or parts of plants capable of propagation, are hereby prohibited, except as herein specifically exempted.