I have seen a professional operation for raising phyto, pods, and mysids.
Here's what Reed's says about how to culture copepods:
Directions for Culturing in a Stand Alone Container
Culture vessel. This can be anything such as a 5 or 10 gallon aquarium, Tupperware container, etc. that holds water. Deep containers or carboys are not suggested.
Culture water. You will need some freshly mixed clean seawater, or you can use a natural seawater product such as Catalina water. Do not use water from an existing aquarium or culture as this will contaminate your attempt to start a new culture of copepods. A specific gravity of 1.020 to 1.025 for this strain of copepod is suggested.
Small air pump, air stone, and airline tubing.
Cover to keep dust and contaminants out and evaporation down.
A food source, such as Phyto-Feastâ"žÂ¢ phytoplankton.
Fill your container half to two-thirds full with the clean seawater. Attach the airline and air stone to the air pump. Put the air stone in the culture vessel, and plug in the air pump. Make sure you use a drip loop and check valve to keep water from getting into your pump and electrical outlet. Add a small amount of Phyto-Feastâ"žÂ¢ to lightly color the culture water. Do not add too much, or the water will foul. Add your new copepod culture, put the lid on, and you are done!
Over the next few weeks, your copepods will reproduce. It may seem at first that they aren't reproducing as fast as you would like, but once they get to a certain population level you will see an "explosion" of copepods in your culture vessel. Feed with Phyto-Feastâ"žÂ¢ as necessary to keep the water lightly tinted, and monitor water quality. Crashes from overfeeding that leads to high ammonia and nitrite are possible, water changes can help if the water quality declines too much.
To harvest your copepods, a plankton collector/strainer of some sort is very helpful. You can siphon your copepods through the collector, insuring that when you feed them to your aquarium you are only adding copepods, not culture water. Make sure you do not dip your strainer in the copepod culture, and then in your aquarium, and then back in your culture vessel without cleaning it first. Likewise, keep siphon tubing and other equipment you use on your culture separate from equipment you use in your aquariums or larval tanks to avoid contamination. While you can always buy another batch of Tigger-Podsâ"žÂ¢ should your culture crash, you can avoid that frustration by not sharing equipment between different systems!