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arXiv · 2603.16190

Extinction behaviour for mutually enhancing continuous-state population dynamics

Jie Xiong·Xu Yang·Xiaowen Zhou
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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 $\alpha$-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.

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Jie Xiong, Xu Yang, Xiaowen Zhou. 2026-03-17. Extinction behaviour for mutually enhancing continuous-state population dynamics. https://arxiv.org/abs/2603.16190

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