捕食者-猎物动态与取决于个性的食和成熟延迟:稳定性开关,霍夫和博格达诺夫-塔肯斯分叉
Heping Jiang1, Shan Gao2, Hao Wang2
1School of Mathematics and Statistics, Huangshan University, Anhui, 245041, China.
Mathematical biosciences
|January 9, 2026
概括
捕食者个性和成熟延迟创造了复杂的人口动态. 了解这些因素是管理捕食者-猎物相互作用和确保生态系统稳定的关键.
科学领域:
- 生态生态学 生态生态学
- 数学生物学 数学生物学
- 人口动态 人口动态
背景情况:
- 捕食者大胆的个体变化会影响捕食者与猎物的相互作用.
- 捕食者的成熟过程引入了对生态模型至关重要的时间延迟.
- 整合行为特征和发育时间对于现实的人口动态至关重要.
研究的目的:
- 调查捕食者个性依赖的攻击率和成熟延迟对捕食者猎物动态的综合影响.
- 分析延迟微分方程系统的稳定性和分叉性质,模拟这些相互作用.
- 确定影响人口稳定性和振荡的关键参数和值.
主要方法:
- 开发了罗森茨瓦伊格-麦克阿瑟模型,结合了非线性,个性依赖的攻击率.
- 导出一个阶段结构的成熟延迟,导致延迟微分方程系统.
- 采用分析技术进行分叉分析和使用DDE-BIFTOOL进行数值模拟.
主要成果:
- 无延迟模型表现出复杂的局部分叉,包括产生稳定的周期的Hopf分叉.
- 引入成熟延迟导致延迟诱导的复杂性,例如多个稳定开关和全球Hopf continua.
- 数字模拟证实了共存和边界状态之间的周期性,准周期性和可比性动态.
结论:
- 捕食者个性的异质性和发育时间是人口振荡和多稳定性的重要相互作用驱动因素.
- 在捕食者与猎物的共存平衡中,确定了稳定性损失或稳定性增长的特定参数值.
- 研究结果为延迟相互作用提供了精细的生态理论,并提出了稳定具有行为变异的种群的管理目标.
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