Do you have any plants? My guess is that the fish have figured out they're swimming in their own waste, which gets them sketchy, so you're just going to have to ride the storm and cycle the tank. In addition to ammonia, you should also be charting nitrites daily, and eventually nitrates. Ammonia will spike, drop off, and then nitrite will spike, and drop off, and then nitrates (the non-harmful compound) will accrue. Nitrates over time will be toxic, requiring water changes. Your tank will be cloudy through the whole process, which takes anywhere from 2- 3 weeks to 2 - 3 months. Then you're ready to go.
If you don't have one, I highly recommend a filter with a biowheel. Biowheels form an ideal surface for nitrifying bacteria to form, in addition to your tank and substrate. Since there's so much more oxygen available to them (18% in air rather than 2% in water), they grow very densely, and my guess (keyword: guess) is that your tank will cycle faster, and handle more "chemistry" with one than without. Regular water changes also stabilize the pH, carbonate hardness, and general hardness of the tank. Those terms don't matter much now; all you need to know is that regular water changes + cycled tank = happy, live fish.
On the bright side, zebra danios are tough little fish, and many people choose them because they are so hardy (I did). Your tank wasn't cycling or doing anything at all until you added those danios, and then the chemistry of life's magic started to kick in. Once your tank is cycled, it will regulate itself (with your occasional common sense, weekly water changes, and without overfeeding).