The rule essentials says, "any person, the local district attorney or city attorney may take action if the same dog has bitten a human being two or more times. This can be referred to as a "private animal control" case:"
3342.5 (b) Whenever a dog has bitten a human being on at least two separate occasions, any person, the district attorney, or city attorney may bring an action against the owner of the animal to determine whether conditions of the treatment or confinement of the dog or other circumstances existing at the time of the bites have been changed so as to remove the danger to other persons presented by the animal. This action shall be brought in the county where a bite occurred. The court, after hearing, may make any order it deems appropriate to prevent the recurrence of such an incident, including, but not limited to, the removal of the animal from the area or its destruction if necessary.