If an infestation degrades your rental to the degree that it makes living there a hazard, then perhaps your landlord should call an exterminator and he will take care of the problem.
Otherwise, it is a maintenance problem that is borne by the tenant. Put out a few mouse traps and have your son check them.
I’m a nicer landlord than most and I would probably go and place a few traps for you, but even I would roll my eyes up at such a request.
