I believe it is the end times now, so I’d have to say that the outbreaks are part of the end times.1 However, I know of no specific reference to this unrest in Scripture.
One of the reasons I believe it is now the end time, or latter days, is because of Jesus’ prophecy recorded in Luke 21:29-31
And he told them a parable: “Look at the fig tree, and all the trees. (30) As soon as they come out in leaf, you see for yourselves and know that the summer is already near. (31) So also, when you see these things taking place, you know that the kingdom of God is near.”
I believe this is predicting the restoration of Israel (fig tree) and the nations surrounding Israel (all the trees). Israel became a nation in 1948; Jordan became independent of British supervision in 1946; Lebanon gained independence in 1943; Syria became independent of France in 1936; Egyptian republic declared in 1953; Iraq was granted independence from Britain in 1932.
We read in Jeremiah 48:47, that the fortunes of Moab would be restored in the latter days. Moab, Ammon and Edom comprise Jordan. So I understand this to indicate that the latter days or end time is 20th Century, possibly earlier, going right into the establishment of the Kingdom of God under Jesus. We see from several Scriptures, that the Kingdom is established in the latter days (end times), eg Isaiah 2:2-4.
I do wonder if this unrest in the Arab world, will lead to the situation described in Psalm 83:2-8. Time will tell.
1. This question is in relation to the Egyptian revolution that happened in 2011.