Many travelers are concerned about the the Zika or Chikungunya virus which is spread by mosquitos in Latin American counties, Mexico and some Caribbean destinations. At this point, only pregnant women have been advised to take precautions with travel to these countries.
What is important to know is not all Caribbean Islands are included. The CDC has compiled a list of destination where Zika virus is present or may be present.
When traveling to areas with high humidity, mangroves and rainforests it is always prudent to take insect repellent along. One of the most highly regarded is Deet. Even if you don't think you have seen insects, use the repellent before going out and take it with you to reapply as suggested by the manufacturer.
Others who suffer from other maladies such as immune deficiencies may also want to check with their health care professional. The symptoms from the virus are much like any other virus causing fatigue and in some cases joint pain. Bed rest and fluids are recommended if you believe you contracted the virus.
Please review the information from the CDC for more facts: CDC Zika Virus Information