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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 behaviour for mutually enhancing continuous-state population dynamics
Jie Xiong, Xu Yang, Xiaowen Zhou
In this paper, we study a two-dimensional process arising as the unique nonnegative solution to a system of two stochastic differential equations (SDEs) with mutually enhancing two…
math.PR2024
Extinction behaviour for competing continuous-state population dynamics
Jie Xiong, Xu Yang, Xiaowen Zhou
We consider a system of two stochastic differential equations (SDEs) with competing two-way interactions driven by Brownian motions and spectrally positive -stable random measur…