在资源依赖的分散模型中,早期的入侵和传播速度
Jean-Baptiste Burie1, Arnaud Ducrot2, Ousmane Seydi2
1Institut de Mathématiques de Bordeaux, UMR 5251, CNRS, IMB, Université de Bordeaux, 351, cours de la Libération, Talence, 33400, France.
Mathematical biosciences
|November 30, 2025
概括
用早期阶段的分支过程和后期阶段的非线性方程来建模生物入侵动态. 一个统一的值参数决定了入侵的成功,显示了资源驱动的分散影响的传播.
科学领域:
- 生态生态学 生态生态学
- 数学生物学 数学生物学
- 理论生态学理论生态学
背景情况:
- 生物入侵对生态构成重大威胁.
- 早期的入侵阶段由人口统计学随机性主导.
- 非本地资源驱动的分散影响了入侵动态.
研究的目的:
- 通过使用互补的建模方法来研究生物入侵动态.
- 分析人口变化和资源驱动的分散的影响.
- 建立一个统一的入侵成功标准.
主要方法:
- 用于早期入侵分析的分支过程近似.
- 大规模入侵动态的非线性整微分方程.
- 下一代运营商的光谱半径来定义入侵值.
主要成果:
- 从分支过程中获得的灭绝概率和平均灭绝时间的明确公式.
- 对于具有扩散速度限制的确定性模型而建立的良好位置.
- 一个统一的值参数T0始终预测灭绝 (T0 ≤ 1) 或持久性 (T0 > 1).
结论:
- 在入侵的早期阶段,人口变异性至关重要.
- 衍生的值参数提供了一个一致的入侵成功的标准,跨不同的建模尺度.
- 资源驱动的分散显著塑造了生物入侵的速度和结果.
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