Staywell Pet Doors for Dogs and Cats. Staywell Deluxe Dog Doors featuring top of the line electronic, 4-way locking dog door system. These pet doors, doggie door, or dog door, whatever you choose to call it allows your dog to wear the key but allows you to program it for security. A pet door system that features internal lockable panels. A dog door which helps keep strays and other critters out of your home.