First off I have to say that I agree with everyone here, there is no difference between running and jogging in whether or not it's good for you etc. I would also say to let those categories go and just do your thing.

Now technically, there is a difference. But it has to do with kinetics etc and has no application at all in this context. In summary, it has to do with what proportion of the gait cycle is spent with both feet off the ground. With jogging, this is very brief and with running it's much longer. This also corresponds to speed, as you go faster you get more "air time".