Never scratch your eczema thats like pouring oil onto fire, it makes matters worse and the healing process will be even worse after.
The reason there is no cure for it is that everyone reacts to things differently that's what makes us human, it can be triggered from the smallest change in the environment to a bite of fish.
It's too bad they haven't anything because i know there is a cure for dogs.
Consistency of applying moisturizer and keeping hydrated will help.