What would you call a model that by nature is a feedback loop?

So, I'm hoping someone could help me find some reading on a situation I'm dealing with. Even if that's just by providing a name for what the system is called it would be very helpful. My colleagues and I have identified a general concept at work but we're having a hard time figuring out what it's called so that we can research the implications.

tl;dr - what is this called?

1. Daily updated model with a static variable in it …

call colleagues concept datascience feedback general loop nature reading work