{
  "abstract": "In this paper we consider a two-dimensional generalized continuous-state branching process with mutually enhancing two-way interactions characterized by two stochastic differential equations driven by Brownian motions and spectrally positive $α$-stable random measures. Such continuous-state population dynamics can also be identified as a stochastic Lotka-Volterra type population model. Infinite behavior such as explosion/nonexplosion for this population and staying infinite/coming down from infinity are derived under various conditions on the coefficients involved in the model and the conclusions are rather sharp",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.25626",
  "author_total": 3,
  "authors": [
    {
      "name": "Jie Xiong"
    },
    {
      "name": "Xu Yang"
    },
    {
      "name": "Xiaowen Zhou"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/55td5b82cj3kf.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.25626",
  "fulltext_url": null,
  "id": "55td5b82cj3kf",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.25626",
  "language": null,
  "licence": "CC0-1.0",
  "licence_label": "CC0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/publicdomain/zero/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.PR"
    ],
    [
      "openalex",
      "2610|Stochastic processes and statistical mechanics"
    ]
  ],
  "openalex": "W7214087956",
  "pdf_url": "https://arxiv.org/pdf/2609.25626",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-22",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/55td5b82cj3kf.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:43Z",
      "native_id": "2609.25626",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.25626"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "Behaviors near infinity for mutually enhancing continuous-state population dynamics",
  "title_text": "Behaviors near infinity for mutually enhancing continuous-state population dynamics",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:43Z",
  "url": "https://research.draconitic.com/paper/55td5b82cj3kf",
  "venue": "arXiv",
  "versions": []
}