In many cases health departments will ask the courts to order someone to comply with a public health order or to cease and desist from an activity that endangers the public health.  This is done through injunction proceeding.  The court may grant an emergency injunction without hearing from the opposing party, but if it does, it will schedule a hearing as soon as possible to allow the party to be heard.  The advantage of injunctions is that the court can use its power to hold persons in contempt to force them to comply with the order.