Go through your results for flights to Dominica in Dominica with Netflights. The most popular airlines for this route are Air France, with Air France claiming the top spot. Although Air France usually has the best prices, it's best to double check what's available for your travel dates.
Flexible on dates? Conducting your search by month allows you to compare prices to Dominica throughout the year. Accommodation prices will also be higher at this time of year.
Dominica receives five direct and indirect flights every week, but the cheapest airline is normally Air France. So, if the flights to Dominica don't work for you, you could always try searching for flights to other airports in Dominica.
Looking at a few different departure airports will give you even more choice. See what you can find. And remember, it's best to book your flights in advance wherever possible.