How do mouse traps DETER mice?
Mouse traps do not deter mice. On the contrary, traps use bait to attract mice as part of catching and/or killing them.

You should figure out where the mice are getting into your home and correct it so they can no longer get in (mice can fit through openings as small as 1/4"). Then, focus on getting rid of the mice that are trapped inside your home.

If you have many mice within your home and want the problem resolved quickly, it may be best to call in a professional to help address the problem.