The best way to fight back at the Zombies when they attack is to deminish their food supply, eat the weak humans so the Zombies starve, amirite?

I think in World War Z, zombies don't require any nourishment. They just happen to crave brains. I guess they don't expend enough energy to have to renew it with food, as they tend to be slow and don't have as much brain activity.