One other thing that can be done. In a spray bottle, dilute apple cider vinegar and water, 1/3vinegar to 2/3rRAB water. Saturate a small towel with the mixture and rub it into the coat of the animal, they like the smell, it's natural. Don't get it in their eyes. The vinegar smell dissipates when it's dry.
Don't dry the coat, let it air dry. It conditions the skin, cuts down on dander which is the stuff that makes people allergic the most.
You'll notice that not only does it help their skin but their fur will be so soft and shiny.
In the winter months where I live, I get flakes in my hair from the dry weather, I use this mixture on my own hair and it takes care of it.
Diana