The vet is probably concerned about a bacterial infection, so that may be why the antibiotic is being used.
Nearly all dogs have demodex. When they get out of control, it is the result of a compromised immune system. You may not need to give drugs for the actual mange as long as it doesn't keep getting worse. Different vets have different feelings on when to give it.. If the vet is worried about your pup's immune system, some immune boosters may be tried.
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