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math.PR2026
Behaviors near infinity for mutually enhancing continuous-state population dynamics
Jie Xiong, Xu Yang, Xiaowen Zhou
In this paper we consider a two-dimensional generalized continuous-state branching process with mutually enhancing two-way interactions characterized by two stochastic differential…
math.PR2026
Extinction and extinguishment properties for a nonlinear predator-prey branching model
Lina Ji, Jie Xiong, Wen Xu +1
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 populat…