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Author

Xu Yang

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Preprint Aug 2026

Extinction and extinguishment properties for a nonlinear predator-prey branching model

We study extinction and extinguishment in a two-type continuous-state nonlinear branching model driven by Brownian branching noise and spectrally positive stable jumps. The populations are subject to nonlinear self-regulation and a mixed-sign predator--prey interaction: the second promotes the first, whereas the first...

Li-Na Ji, Jie Xiong, Wen Xu et al. · 1 citation · ⚡1
Preprint Sep 2026

Behaviors near infinity for mutually enhancing continuous-state population dynamics

In this paper we consider a two-dimensional generalized continuous-state branching process with mutually enhancing two-way interactions characterized by two stochastic differential equations driven by Brownian motions and spectrally positive $\alpha$-stable random measures. Such continuous-state population dynamics can...

Jie Xiong, Xu Yang, Xiao-Wen Zhou · 0 citations

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