Following the initial or periodic inspection of a residential rental dwelling unit found to be deteriorated or in the process of deteriorating and that is subject to a residential rental inspection ordinance, the public authority has the authority to require the owner or party in interest of the dwelling unit to submit to such follow-up inspections of the dwelling unit as the public authority deems necessary, until such time as the dwelling unit is brought into compliance with all applicable housing, building, plumbing, electrical, fire, health or related codes.