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Two years after Dion and Heracleides conquered Syracuse in 357 BC, Apollocrates maintained control of the fortress of Ortygia. As supplies ran out, Apollocrates capitulated to Dion, who allowed him and his mother Doris to sail to join his father in Magna Graecia.
According to Theopompus, Book 39, F185: "Apollocrates the son of the tyrant Dionysius was undisciplined and an alcoholic."
References
Diodorus Siculus, Library of History. Translated by Oldfather, C. H. Loeb Classical Library. Cambridge, MA. Harvard University Press, 1935.