线性扰乱的梅-莱昂纳德竞争模型的动力学
Gabriela Jaramillo1, Lidia Mrad2, Tracy L Stepien3
1Department of Mathematics, University of Houston, Houston, Texas 77204, USA.
Chaos (Woodbury, N.Y.)
|June 5, 2023
概括
将全球突变添加到梅-莱昂纳德模型中引入了新的动态. 即使是小的突变率也会显著改变种群行为,创造新的稳定固定点并改变现有的周期性行为.
科学领域:
- 数学生物学 数学生物学
- 理论生态学理论生态学
- 动态系统理论 动态系统理论
背景情况:
- 梅-莱昂纳德模型描述了三个竞争群体的相互作用.
- 这个模型表现出复杂的动态,如极限循环和循环解决方案.
- 了解生态动态对于人口管理至关重要.
研究的目的:
- 调查全球突变对梅-莱昂纳德模型的影响.
- 分析线性突变如何影响人口动态和稳定.
- 为了识别由扰动引入的新行为和平衡.
主要方法:
- 用线性全球突变扰乱梅-莱昂纳德模型.
- 分析分叉,包括折叠分叉.
- 将扰乱系统的动态与经典模型进行比较.
主要成果:
- 扰动系统保留了一些经典动态,比如平衡中的极限周期.
- 新的行为出现,包括折叠分叉曲线和新的稳定固定点.
- 原始模型中存在的异临床连接在扰乱系统中丢失.
结论:
- 线性扰动,即使是小的速度,显著影响生态模型的动态.
- 全球突变引入新的稳定状态并改变现有的复杂动态.
- 这项研究揭示了生态模型对进化变化的敏感性.
相关概念视频
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