Luke"s account of this incident is the longest of the three. Luke stressed Peter and omitted any reference to Andrew, his brother ( Matthew 4:18; Mark 1:16). He characteristically focused on single individuals that Jesus" touched wherever possible to draw attention to Jesus. He also stressed the sovereignty and holiness of Jesus as well as these disciples" total abandonment of their possessions to follow Jesus. Jesus repeated the lesson of this incident after His resurrection ( John 21:1-14). [source][source][source]
Luke placed this account in his Gospel after the Capernaum incidents rather than before them as Mark did ( Mark 1:14-28). He probably arranged his material this way to stress Jesus" sovereignty over people having established the general program of Jesus" ministry. [1] The emphasis on Jesus" sovereignty continues through chapter5. This was not the first time Jesus had talked with Peter and the other disciples mentioned. Andrew had told his brother Peter that he had found the Messiah (cf. John 1:41). However these disciples" thought of the Messiah as their contemporaries did. They expected a political deliverer who was less than God. Jesus had to teach them that He was God as well as Messiah. This lesson and its implications took all of Jesus" ministry to communicate. [source][source][source]