在一个以健身为依赖的分散模型的超人口模型中,对称性被打破
V Vikram1, V K Chandrasekar1, R Gopal1
1SASTRA Deemed University, Department of Physics, Centre for Nonlinear Science and Engineering, School of Electrical and Electronics Engineering, Thanjavur 613 401, India.
Physical review. E
|December 23, 2025
概括
这项研究揭示了捕食者分散如何影响生态动态,显示了破坏对称性的状态,促进了物种的生存. 这些状态在混乱和周期性行为之间交替,影响生态系统的稳定性.
科学领域:
- 生态生态学 生态生态学
- 数学生物学 数学生物学
- 动态系统 动态系统
背景情况:
- 像罗森斯维格-麦克阿瑟这样的生态模型对于理解捕食者-猎物动态至关重要.
- 分散策略显著影响人口持续性和社区稳定性.
- 对称性破坏现象可能导致复杂的人口波动和共存模式.
研究的目的:
- 为了研究与健身依赖分散的合罗森茨瓦伊格-麦克阿瑟模型中的对称性破坏动态.
- 分析混乱状态和周期性对称性破坏状态之间的过渡.
- 探索初始条件的影响,并分析不同同步状态的稳定性.
主要方法:
- 采用了相同合的罗森茨瓦伊格-麦克阿瑟模型,具有取决于健康状况的分散.
- 分析了破坏对称性的 (SB) 状态,其特点是斑块之间的振荡幅度差异.
- 采用利亚普诺夫指数分析来检测混乱,并使用Floquet分析来评估稳定性.
主要成果:
- 确定了一个通过脱同步支持物种持久性的对称性破坏 (SB) 状态.
- 观察到混沌对称破坏 (CSB) 和周期性对称破坏 (PSB) 状态之间的过渡随着捕食者分散而变化.
- 在SB动态中发现了交替的混乱和周期窗口,并确定了反相同步 (APS) 和相内同步 (IPS) 状态.
结论:
- 对称性破坏的动态在空间结构生态系统中的物种持久性中起着关键作用.
- 分散速率和对称性破坏之间的相互作用导致复杂,交替的混乱和周期性人口动态.
- 了解吸引力盆地和状态稳定性对于预测多稳定系统中的生态结果至关重要.
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