Extinction behaviour for mutually enhancing continuous-state population dynamics
Probability
2026-03-18 v1
Abstract
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-way interactions driven by independent Brownian motions and spectrally positive -stable random measures. Such a SDE system can be identified as a continuous-state Lotka-Volterra type population model. Extinction properties of the populations are studied for different choices of the coefficients involved in the SDEs.
Cite
@article{arxiv.2603.16190,
title = {Extinction behaviour for mutually enhancing continuous-state population dynamics},
author = {Jie Xiong and Xu Yang and Xiaowen Zhou},
journal= {arXiv preprint arXiv:2603.16190},
year = {2026}
}