Only the people and the government of that country can stabilize their economy. If they help each other they can do all things. I think bitcoin cannot stabilize the economy of any other countries.
Bitcoin is not powerful enough to stabilize any country at best what you can do as a person is to take advantage of it if your country is having problems, so even if the economy of the country where you live goes down or crashes you will avoid some of the worst parts of the crisis and unlike most people you will still have some savings that you could use to move to another country or to lead a better life.