Skin alargy for pet animals like DOG, what is the medicine to be given ?

You have to identify the reason for this skin problem, most of which are food-related. And in that, a lot of dogs are allergic to cereal based food. Try to find one that lists meat or fish as the first ingredient. Not cereal. But if you do switch, do it gradually over at least a week, mixing in the new with the old. You may find trying a fish and potato diet helps - it won't produce an immediate response so if you decide to do this, be patient. But you really should see your vet, in case he has a parasite problem, not an allergy.

That would entirely depend on the type of skin allergy. I suggest therefore that you seek out professional help

Dogs are allergic to many things like various ingredients in food, or inhalent allergies, or to contact allergies. There is no one medication for dogs with allergies.

If YOU are allergic to dogs, there is no ONE medication, there are a number of them. The advice is to AVOID being around them, as much as possible.

For the dog? A trip to a vet.

For you? A trip to the allergist.

ask your vet when you call for a wellness check