Kai-Ge Yan

Quasi-stationary distributions and sharp metastable asymptotics for birth--death processes with a strong Allee effect

We study density-dependent birth--death processes with a strong Allee effect and absorbing extinction. The deterministic system is bistable: extinction and a positive equilibrium are locally asymptotically stable, separated by an unstable Allee threshold. Let $K$ be the population-size scaling parameter. As $K\to\infty...