'Pursuing' in the Bible

So Saul stopped pursuing David and went to confront the Philistines. Therefore that place is called Sela Hammahlekoth.

When Saul returned from pursuing the Philistines, they told him, "Look, David is in the desert of En Gedi."

Who has the king of Israel come out after? Who is it that you are pursuing? A dead dog? A single flea?