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If your dog was infected with either sarcoptic or cheyletiella mange, you will need to treat any dogs or other animals that your pet is in frequent contact with -- otherwise he could be re-infected. Talk to your vet about how to treat your other pets to avoid a recurrence of mange in your dog. If you suspect that a dog (or cat) in your neighborhood may have mange, you should keep your dog as far away from the animal as possible. Talk to the animal's owner to let them know that you think their pet has mange or call animal control if the animal is a stray. Following treatment, you should bring your dog back to the vet for periodic check-ups. The veterinarian can analyze skin scrapings to confirm that the mites have not returned. Do not attempt to treat a recurrence of mange without consulting your veterinarian first because some treatments can be toxic if used more than once in too short of a time period.
Treat other animals your pet has come in contact with. Keep your dog away from other dogs who may be infected. Take your dog to the vet for regular check-ups.