Extinction behaviour for competing continuous-state population dynamics
Probability
2026-03-09 v2
Abstract
We consider a system of two stochastic differential equations (SDEs) with competing two-way interactions driven by Brownian motions and spectrally positive -stable random measures. Such a SDE system can be identified as a Lotka-Volterra type population model. We find nearly sharp conditions for one of the population to become extinct or extinguished.
Cite
@article{arxiv.2412.00376,
title = {Extinction behaviour for competing continuous-state population dynamics},
author = {Jie Xiong and Xu Yang and Xiaowen Zhou},
journal= {arXiv preprint arXiv:2412.00376},
year = {2026}
}