A 29-year-old man was due in Dublin District Court in relation to the incident this morning.
The suspect, who is deaf and mute, was expected to be charged with manslaughter arising out of an altercation that took place before Mr Dudley fell under the bus at the junction of Dawson Street and Nassau Street.
The victim's family say that Eoghan was was not drinking or taking drugs.
His mother is based at an Irish Embassy abroad.
His father Seamus, from Rathfarnham in south Dublin, said his son "had his problems, but he was still human".
It took gardai considerable time to identify Mr Dudley as he was not carrying any ID when he suffered catastrophic head injuries. Officers eventually released details of his tattoos
Seamus Dudley said he believes that an altercation occurred when his son had been asked for money as he was walking up the street.
"He would have had no money except a couple of coins in his pocket," Mr Dudley said.