The reasons that people decide to move to a new country can be summarized as "pull" and "push". "Pull factors" are things like: a new job, family who is already there, or better climate. "Push" factors are things like: poverty, starvation, or persecution. Many Venezuelans feel "pushed" to immigrate. But as more and more arrive, the "pull factors" kick in, and immigration increases! Look at how many Venezuelans immigrated to Chile each year:
2014 = 2300 immigrant
2015 = 7400 immigrants
2016 = over 23,000!