In the interest of not hurting the flow of tourists to the Dominican Republic the Government has according to international news medias been under-reporting the cases of AH1N1 virus also known as swine flu. Dominican Watchdog recommends that you contact your local embassy in the Dominican Republic for an update before traveling to the DR.
Until today only 11 cases has been reported according to The Associated Press of which 6 cases are from the oldest and most prestigious educational institutions in the country where all the rich families and international companies or organizations send their children - Carol Morgan School in Santo Domingo.
The Dominican Government claims that they are not under-reporting the AH1N1 virus according to this article in DominicanToday
Here is the official updates from WHO(Worlds Healto Organization) on AH1N1 virus.