Just put on some insect repellant with DEET and you will be fine. The dengue mosquito bites during the day only and has a speckled body.
The main problem is St Maartens, if you are not calling there then for the time being no problems. If however you are calling in there the excursions form the ship or your wander around the shops will be at a time of day when the mosquitos are less of a problem it is mainly dawn and dusk and more likely to be a problem for those holidaying on the island. Avoid any areas where you see stagnant water and use could protection on your skin, even ask you GP what one is best or your chemist. Wear trousers/long shirts for both sexes and socks and shoes. Given the time of the year the temps won't be as high as, so wearing this clothing for this short period should not be uncomfortable. Finally check for notices and or advice on the ship and if none displayed ask as this problem won't dissappear overnight, but given the time you might be ashore should not really put you at risk if you take the precautions. Perhaps others will have better suggestions !
Google dengue fever prevention lots of sites with the information you requested.
This is carried by a different mosquito to the one which causes malaria. It is found in urban areas and bites at all times, including daytime. Use 50% deet or Autan on all exposed skin, cover up as much as possible and spray socks, cuffs and collars with permethrin spray. (from Magellans or Travelpharm). Very bad in east and central Brasil.
Dengue fever is transmitted through mosquito bites - so to minimise your risk use some insect repellent in the evenings if you are in an area prone to mosquitos. As I presume you will be sleeping on the boat in an air conditioned cabin, your risk of being bitten when they are most active is pretty low so I wouldn't get too worried if I were you!
Never heard of Dengue fever but we went on Cruise to the Caribbean last November and we never had a problem and went ashore at every island and we are Senior citizens. If you go to the Doctors they will tell you of what if any injections you need to have about 6 weeks before you go. Don't worry there isn't a problem. Beryl. Birmingham.
Went to Caribbean last november and never heard of any such fever.We were in the Western Caribbean and got off at every opotunity as wanted to see as much as we could.When off the ship i think it is always wise to drink bottled water but we had such a brilliant time we are going to the Eastern Caribbean in Febuary.Just enjoy the experience and have a good time i have travelled quite a lot and the Dengue fever is a new one on me!!. Happy Holiday.