Luke said that all the people in the surrounding country of the Gerasenes (ἅπαν τὸ πλῆθος τῆς περιχώρου τῶν Γερασηνῶν) asked Jesus (καὶ ἠρώτησεν αὐτὸν) to depart from them (ἀπελθεῖν ἀπ’ αὐτῶν). They were seized with great fear (ὅτι φόβῳ μεγάλῳ συνείχοντο). Thus, Jesus got into his boat (αὐτὸς δὲ ἐμβὰς εἰς πλοῖον) and returned (ὑπέστρεψεν) to the other side. All 3 synoptic gospels, Matthew chapter 8:34, Mark, chapter 5:17, and Luke here, said that the people in this east bank area of the Sea of Galilee begged Jesus to leave their neighborhood, with slight nuances in each story. Mark simply said that the people began to implore Jesus to leave their region. Matthew had the people in the Gadarenes area ask Jesus to leave their neighborhood. The whole town went out to meet Jesus. They then begged him to leave their area. Not in my neighborhood, as economics was more important than any miraculous events. Jesus was too disruptive to their way of life. Does Jesus disrupt your life?
All three synoptic gospels, Matthew chapter 8:34, and Luke, chapter 8:37 and Mark here said that the people in this east bank area begged Jesus to leave their neighborhood, with slight nuances in each story. Mark said that the people began to implore or beg Jesus (καὶ ἤρξαντο παρακαλεῖν αὐτὸν) to leave their neighborhood, region, or area (ἀπελθεῖν ἀπὸ τῶν ὁρίων αὐτῶν). Not in my neighborhood, as economics were more important than any miraculous events.
This saying of Jesus is unique to Matthew, thus, not in the Mark narrative. Jesus did not respond to her with any words at all (ὁ δὲ οὐκ ἀπεκρίθη αὐτῇ λόγον). However, his disciples came to him to tell him to implore or urge her (καὶ προσελθόντες οἱ μαθηταὶ αὐτοῦ ἠρώτουν αὐτὸν λέγοντες) to go away (Ἀπόλυσον αὐτήν), because she was shouting after them (ὅτι κράζει ὄπισθεν ἡμῶν), Then Jesus answered (ὁ δὲ ἀποκριθεὶς εἶπεν) that he was sent only to the lost sheep of the house of Israel (Οὐκ ἀπεστάλην εἰ μὴ εἰς τὰ πρόβατα τὰ ἀπολωλότα οἴκου Ἰσραήλ), not to other people. However, Jesus had cured the Roman centurion’s servant in chapter 8:5-13.