在连续和离散的时间模型之间的动态行为比较的内部团伙掠食的模型
Ming Chen1, Menglin Gong1, Jimin Zhang2
1School of Science, Dalian Maritime University, Dalian 116026, Liaoning, China.
Mathematical biosciences and engineering : MBE
|July 28, 2023
概括
这项研究比较了行内掠食的离散和连续模型,发现了类似的人口动态,但由于时间尺度的混乱和多稳定性存在差异. 了解这些时间尺度效应对于生态建模至关重要.
科学领域:
- 生态动力学 生态动力学
- 数学生物学 数学生物学
- 捕食者与猎物的互动
背景情况:
- 一个捕食者捕食另一个竞争共同资源的捕食者,这是一个重要的生态相互作用.
- 固体测量模型结合了营养动态,提供了更现实的生态过程的描绘.
- 连续时间模型是常见的,但离散时间类型可能更好地代表某些生态现象.
研究的目的:
- 开发和分析一个连续时间的静态度计 intraguild掠食模型的离散时间模拟.
- 为了比较离散和连续时间模型的动态行为.
- 调查时间尺度对协会内部掠食动态的影响,包括群体共存和石化效应.
主要方法:
- 一个离散时间模型的开发,基于一个连续时间的静态度计 intraguild掠食模型.
- 对离散模型动态的分析:边界性,不变性,平衡的稳定性和生态矩阵.
- 数值分析用于比较离散和连续模型的动态行为.
主要成果:
- 离散模型和连续模型都表现出类似的人口共存区域和猎物食物质量的固态度效应.
- 在中等和高光强度的动态中出现了显著的差异.
- 多稳定性特征和混乱间隔在离散和连续时间模型之间显著不同.
结论:
- 时间尺度在塑造协会内部掠夺的动态方面发挥着至关重要的作用.
- 离散时间模型可以揭示它们的连续对应物无法捕捉到的独特行为,特别是在混乱和多稳定性方面.
- 该研究强调了在生态建模中考虑时间方面的重要性,以准确预测.
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