The quarantine model was abandoned when a certain preferred social group became the main carriers of a certain deadly disease in the 1980s.
Public Health Quarantine was weakened and made obscure by micro-regulation mostly in order to protect AIDS infected homosexuals, but it was not abandoned. In some ways it was made more potent by regulation and law post 9/11, anthrax and the swine flu scares, etc.
Animal and plant quarantines are still common, as a quarantine (aka isolation) rooms in health care facilities.