How do I get my shoes to be less stinky?

I like to go jogging, even when it rains, but it seems like every time I jog in the rain or in wet grass or anything really wet, my shoes get disgustingly stinky. I'm currently in a third world country so there aren't any commercial products here that I can buy to get rid of the stink, but it there any kind of natural solution to this? (And don't say that I need to stop going jogging or something like that, this is a serious question.)