I agree with the no touch rule and stay away from crying babies. Should be a month. But don't keep checking because that's touching. (crying babies stimulate production often) Also be ready to be very fertile starting in just weeks. So take immediate precaution if you don't desire to be pregnant. And regarding sexual relations no sucking on nipples for up to three months if you want to be milk-free.
For you to dry up your breast milk when you can not feed the infant anymore due to health issues, you can take medication subscribed by your doctor. You can also use a tighter bra or binder, stop taking a lot of fluids and avoid nipple stimulation. Visit http://www.pfizer.co.za/runtime/popcontentrun.aspx?pageidref=2247 for more.