I was followed on my way home at night and no one did anything

Last night I left work a bit late, and while walking home from the metro, I noticed a guy had been watching me for a while. When I sped up my steps, he did too. In the end, I ducked into a store and managed to escape, but the indifference of the people on the street really upset me. I mean, I honestly don't know what we need to do to feel safe anymore. Has anyone else experienced something like this, or am I overreacting? To be honest, I was really scared.