What you are describing sounds like atopic dermatitis
. This is especially seen in females who have a predisposition to allergies, which in your case is asthma
. Because of this I recommend that you get checked up by a dermatologist
who will start you on a local antiinflammatory cream. Also, you may use some medication so that you dont get this again. In future you may like to avoid allergens which are causing this. I hope this helps you.