No. vaseline may help moisturize the skin, but it will not cure it. There is no current cure for eczema, but there are other treatments and some work better than others.
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No, a baby with eczema will not die. Eczema is not a life threatening disease, it only causes dry and itchy patches of skin.
Vitamins alone won't provide cure but will aid cure. Vitamin E
You can cure a dog's eczema by applying lavender oil and aloe to it's ears. Both of these products will help heal and rebuild the skin cells of the ear.
Steroid ear drops. That is all I know of. Looking for more.
Unfortunately there is no 'cure' for eczema. To try and keep the skin as clear from eczema as possible is to moisturise on a daily basis (or as much as needed), and for any inflamed, red areas of skin, a corticosteroid cream may be prescribed by your doctor.
Not necessarily. If it's determined you have an allergy to cats and nothing else improves your symptoms however, than it is probably for the best.
A baby cannot cure anything.
Unless it's from a hereditary illness the baby can not get it.
Yes I think your skin disorder maybe eczema or allergies. this website will tell you all about it and it's cure http://www.webmd.com/allergies/guide/eczema
Unfortunately, there is no cure for eczema but you can make each flare up more comfortable. Visit your physician to get a prescription for a steroid cream, do not use excessively hot water and do not scratch.