Explosive growth does not happen in a vacuum. Sometimes it's due to a pre-existing boom and bust cycle (eg lynx and hares, rabbits and wolves, etc). Sometimes it's due to the elimination of key species or ecological instability (eg hares in australia with no predators, boom of sea urchins in california, cuttlefish booming due to overfishing), or maybe it's something completely different altogether.

Given that there is no history of a pre-existing boom and bust cycle in the data, I think we can rule that out. So clearly something is happening that wasn't happening before. The question you want answered is one-dimensional and ill-posed in this situation to allow you to better understand the dynamics at work.