Showing math.PRShow all
3 papers · 1 filter
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.PR2026
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 measu…
math.PR2025
Extinction, explosion and contraction for time-inhomogeneous SDEs with jumps
Shukai Chen, Xu Yang, Xiaowen Zhou
For a class of time-inhomogeneous SDEs with jumps, we establish criteria for the existence and uniqueness of the nonnegative solutions, and examine the extinction, the explosion to…