Author

Dun Zhou

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Preprint Sep 2026

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...

Tian Hou, Kai-Ge Yan, Dun Zhou · 1 citation · ⚡1

Preprint Sep 2026

Statistical behavior of systems with nested invariant cones

Nested invariant cones (NICs) encode hierarchical order and oscillation structures in many finite and infinite dimensional dynamical systems. We investigate how this hierarchy constrains the Birkhoff center and the supports of invariant probability measures. For eventually compact, dissipative semiflows that are unifor...

Xu Cheng, Yu-Feng Zhang, Dun Zhou · 0 citations