Dont know about mosquitos, but ants in the cham cage is bad news.
I have an ant problem every year, starting early spring, and lasts a month or so.
I use boric acid powder. Place a line of it all along the floor moulding, in the kitchen and bathroom esp. since they are attracted to water.
They get into the crick bin, so I put a line of double sidded sticky tape all along the rim.
If the ants cant get into anything, they go away in a few weeks.