Asiatic is the correct word to use in scientific language when talking about flora, fauna and anthropology, for instance Asiatic lion. Using it as a noun is offensive and old-fashioned
Word Origin and History for Asiatic
adj.
1630s, from Latin Asiaticus (surname of Latin Corn. Scipio), from Greek Asiatikos, from Asia (see Asia; also cf. Asian). As a noun, by 1763. In ancient Rome, Asiatici oratores was florid and overly ornate prose.