What are sold as Persian Mulberry (Morus alba) originated in China and were brought to Persia along the Silk Road. The only mulberry native to ancient Persia is Morus nigra - the Mulberry bush.
For a definitive taxonomy of Moracea please see: https://npgsweb.ars-grin.gov/gringlobal/taxonomyfamily.aspx?id=735
Also note that although many species of Moracea are dioeceous, fruiting cultivars produced by commercial wholesale growers are typically self-fertile.