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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

Uniqueness and stability of nonlinear filtering equations with unbounded random coefficients

We study a multidimensional nonlinear filtering model whose coefficients depend on a given observation-adapted predictable process and whose observation drift may grow linearly in both the state and the random input. Due to the unboundedness of the observation drift, a global reference measure is not available. To over...

Jie Xiong, Wen Xu, Ying Yang · 1 citation

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