When a county health department or public health services district is apprised that infectious or contagious disease exists within its jurisdiction, it shall immediately make an investigation. If the investigation discloses that the disease does exist, the county health department or public health services district may adopt quarantine and sanitary measures consistent with department rules and sections 36-788 and 36-789 to prevent the spread of the disease. The county health department or public health services district shall immediately notify the department of health services of the existence and nature of the disease and measures taken concerning it.