Periscope had a great start, support very early on from investors, influencers and was bought by Twitter before going live, that helped explode the app from day 0. Something that did hurt Meerkat a lot was being cut off from the Twitter API something that became pretty normal on several apps that started getting traction.
Periscope acquisition by Twitter seems to have slowed them down on launching new features, but I have to say that their app and streaming works better than Meerkat and numbers don't lie. They are doing a great job.
Meerkat is great at innovating and moving fast. The "Cameo" feature looks really cool. Everyone thought they were going to be bought by Facebook, but they just launched their own app for famous people and journalists (at least at the beginning to try it out). Let's see how this space evolves once Facebook releases the app to the public and Google starts doing the same using Youtube.