If you do what the buttons in the game say you're doing, you're going to get to zero after just a few weeks. That much is not a political question so much as it's a natural science question.

As for the political aspect of the question, ie.: "what options are available to us"...

I regret to be so blunt but in almost every case, when you hear people say that we can't afford eradication and that the best we can do is mitigate, that right there is what I would call serious political bullshit. It's what politicians say when they don't want to make difficult unpopular decisions. Eradication is almost always* the cheaper option.

* (exceptions may apply)