Detecting whether users have previously ever installed the app

Hi

I am making an app with a large "Welcome bonus" that will last the player many weeks, and then after that you must rely on small "daily bonus" that will only last a couple of hours of gameplay, or pay for further bonuses. The user will be able to get around the need to pay or wait for the "daily bonus" by uninstalling and then reinstalling the app in order to get the "welcome bonus" again.

Is there a way to detect if users have previously ever installed the app? The only thing I can think of is forcing the users to "log in" to play the game at all, or only allowing the "welcome bonus" if you log in with your facebook details or confirmed by email. But I perceive this would annoy many people who will simply drop the game when asked for personal information straight up or if they are lacking in common sense or patience, simply uninstall the app without ever playing it due to the request.

note - i am only targeting android and iOS