Extinction behaviour for competing continuous-state population dynamics
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866918374487883776 |
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| author | Xiong, Jie Yang, Xu Zhou, Xiaowen |
| author_facet | Xiong, Jie Yang, Xu Zhou, Xiaowen |
| contents | We consider a system of two stochastic differential equations (SDEs) with competing two-way interactions driven by Brownian motions and spectrally positive $α$-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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_00376 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Extinction behaviour for competing continuous-state population dynamics Xiong, Jie Yang, Xu Zhou, Xiaowen Probability We consider a system of two stochastic differential equations (SDEs) with competing two-way interactions driven by Brownian motions and spectrally positive $α$-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. |
| title | Extinction behaviour for competing continuous-state population dynamics |
| topic | Probability |
| url | https://arxiv.org/abs/2412.00376 |