Extinction behaviour for mutually enhancing continuous-state population dynamics
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
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| _version_ | 1866917349792153600 |
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| author | Xiong, Jie Yang, Xu Zhou, Xiaowen |
| author_facet | Xiong, Jie Yang, Xu Zhou, Xiaowen |
| contents | 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 $α$-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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_16190 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Extinction behaviour for mutually enhancing continuous-state population dynamics Xiong, Jie Yang, Xu Zhou, Xiaowen Probability 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 $α$-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. |
| title | Extinction behaviour for mutually enhancing continuous-state population dynamics |
| topic | Probability |
| url | https://arxiv.org/abs/2603.16190 |