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arXiv · 2412.00376

Extinction behaviour for competing continuous-state population dynamics

Jie Xiong·Xu Yang·Xiaowen Zhou
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Abstract

We consider a system of two stochastic differential equations (SDEs) with competing two-way interactions driven by Brownian motions and spectrally positive $\alpha$-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.

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Jie Xiong, Xu Yang, Xiaowen Zhou. 2024-11-30. Extinction behaviour for competing continuous-state population dynamics. https://arxiv.org/abs/2412.00376

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