Dengue Fever: Kill The Mosquitoes Or Kill The Virus

After reading so much about dengue fever and the Aedes mosquito, I have a burning question to be answer.
It is better to kill the mosquito or to innoculate or find everyone with denque fever and then isolate them.
Better here means cheaper, faster, effective, safe, environmental friendly.
Simple arithematics tell me mosquitos easily outnumbered people 1000 to 1 if not more. So if we can identify people who are carrying the dengue fever and isolated them it is not better?
I meant you can find mosquitoes everywhere and if they can't find a dengue infected person to bite they wont be spreading the dengue virus, right? To me the problem of finding and killing Aedes mosquitoes seems to be gargantuan compare to the problem of finding people infected with dengue.

Questions that can help answer this questions:

1. Is the dengue virus water borned?
2. Who, what is the natural host of the dengue virus? For example can you find the virus living in a plant?
3. Is there a quick test kit for the dengue virus for human testing.