在一个具有恐惧因子的时空捕食者-猎物系统中,道效应驱动的复杂性
Yuhong Huo1, Gourav Mandal2, Lakshmi Narayan Guin2
1School of Finance and Mathematics, Huainan Normal University, Dongshanxi Street, Huainan, 232038, China.
Mathematical biosciences and engineering : MBE
|December 5, 2023
概括
这项研究引入了一个时空猎物-掠食者模型,包括恐惧和Allee效应. 艾利效应显著影响系统动态,在捕食者与猎物的相互作用中诱导复杂的分叉和模式转换.
科学领域:
- 数学生物学 数学生物学
- 生态生态学 生态生态学
- 动态系统 动态系统
背景情况:
- 捕食者-猎物模型是生态学的基础.
- 恐惧和艾利效应是影响人口动态的关键因素.
- 时空动态可以导致复杂的生态模式.
研究的目的:
- 开发和分析一个带有恐惧和Allee效应的时空猎物捕食者模型.
- 调查这些影响对稳定性和分叉现象的影响.
- 探索生态系统中的模式形成和转变.
主要方法:
- 建立解决方案的全球存在.
- 分析非负空间均平衡的条件.
- 研究平衡的稳定性和两叉分析.
- 使用数值模拟来验证理论发现.
主要成果:
- 艾利效应和恐惧因子诱导复杂的分叉场景.
- 大胡同效应驱动图灵不稳定性和模式转换.
- 小小道效应可以稳定系统.
- 艾利效应可以诱导各种共同维度-1和共同维度-2的分叉.
- 观察到从圆环到冷点和条纹模式的模式过渡.
结论:
- 艾利效应在塑造时空捕食者-猎物系统的动态方面发挥着至关重要的作用.
- 恐惧和小的影响可以导致丰富而复杂的生态模式形成.
- 理论预测得到数值模拟的支持,突出显示模型的有效性.
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