"Every mammal on this planet instinctively develops a natural equilibrium with the surrounding environment but you humans do not. You move to an area and you multiply and multiply until every natural resource is consumed and the only way you can survive is to spread to another area."
Sadly Agent Smith was not wrong there.
He was wrong. Animals don't "instinctively" reach a natural equilibrium when they're introduced to a new environment. They eat all the available food, die off en masse, and repeat, until the food sources which were vulnerable have all gone extinct and the only things left are able to survive.
See mouse and grasshopper plagues, feral cats, etc.