Sneakers

Is there a difference between running and walking sneakers? I wear the same sneakers to the gym whether I'm on the treadmill, in Zumba, boot map, etc... But I'm going to be doing a half marathon in July for breast cancer ad want to buy a new pair of sneakers. We don't plan on running it, more like power walking. Any suggestions for sneakers. I won't bother with Nikes, they just don't fit me comfortably.

Sneakers

I am partial to Asics running shoes. I wear them for everything except zumba.