Literal meaning means a simple meaning, a direct meaning or it is a meaning without figurative meaning.
“Do not infest your mind with the beating of this strange business”
I think the literal meaning is Do not worry about this what has happened.
The metaphor in this are infest, beating, strange business.
How does Shakespeare present Prospero at the end of the play:
Shakespeare presents Prospero at the end of the planet by saying he is trying to be kind and forgiving to everyone and everything they have done to him. Also he wants to be free and get off this island as he says “Let your indulgence we me free” which means let your pardon set me free of his punishment. Which is he being stuck on the island forever. Also this could mean he wants to go home.