I don't believe He is a jealous God. Why would you think God suffers from one of mankinds faults?
When I say He is a jealous God, I am using anthropomorphic Biblical speech. This is the description God Himself gave Moses. "I am a jealous God; thou shalt not have strange gods before me." God speaks to us in ways that we can understand--but these words are not to be taken to mean that God feels jealousy--or love--or anger--literally in the same way human beings do.