2 papers
math.PR2026
The principal spectral gap for birth--death processes with a strong Allee effect
Dun Zhou
For birth--death processes with a strong Allee effect, long survival near a positive stable equilibrium does not by itself determine the principal spectral gap. We identify its lar…
math.PR2026
Quasi-stationary distributions and sharp metastable asymptotics for birth--death processes with a strong Allee effect
Tian Hou, Kaige Yan, Dun Zhou
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 a…