Noise-induced excitability: bloom, bust and extirpation in autotoxic population dynamics (opens in new tab)

arXiv:2601.20670v1 Announce Type: cross Abstract: Species populations often modify their environment as they grow. When environmental feedback operates more slowly than population growth, the system can undergo boom-bust dynamics, where the population overshoots its carrying capacity and subsequently collapses. In extreme cases, this collapse leads to total extinction. While deterministic models typically fail to capture these finite-time extinction events, we propose a stochastic framework,...