Wed, 06 Aug 14 09:25:27 -0500
Sarcoptic mange mites are very contagious and cause 'scabies' in humans; they cannot reproduce on humans, but will live for about 5 days and cause an itchy rash. You should contact your physician if your kids develop an itchy rash and let them know they were exposed to scabies.
The good thing is that with treatment your dog should not be contagious after about 5 days. While you have already treated your dog via your vet - and I am assuming it is an oral miticide, it would be wise to use the mange remedy on this site to address the exterior of your dog to kill as many mites as quickly as possible to reduce possible transmission to your kids. It is also a good idea to use the mange remedy on every single other pet in the household to avoid those pets getting infected with scabies as well.
Lastly, don't forget to clean, clean, clean - and sterilize any dog bedding, the crate or area where the dog resides, and all areas where the dog may access.
Good luck, and thank you for rescuing this dog!