When I had a cat way back when I used to give it medication for fleas that apparently stopped the life cycle.
Yes, the emphasis on thoroughness and repetition in the instructions for the shampoos and combs makes it clear how hard it is. Did another round of shampooing at the weekend and will be combing daily. Will also get some stuff to wash clothes and bedding, and vacuum and shampoo the couch.
There is a special clinic you can get referred to if you've tried but failed to get rid of them yourself like me. I guess I'll try and get a referral from the doctor this week.