由非局部空间记忆和非局部感知引起的分叉
Yujia Wang1,2, Yongli Song1, Hao Wang3
1School of Mathematics, Hangzhou Normal University, Hangzhou, Zhejiang, 311121, China.
Journal of mathematical biology
|May 27, 2025
概括
动物的运动受到空间记忆和感知的影响. 我们的模型显示了记忆和感知参数如何影响运动稳定性和动态,揭示了影响空间模式的复杂分叉.
科学领域:
- 数学生物学 数学生物学
- 理论生态学理论生态学
- 动物行为 动物行为
背景情况:
- 动物的移动决定对于生存和繁殖至关重要.
- 空间记忆和感知是影响这些决定的关键因素.
- 反应-扩散模型对于研究人口动态和空间模式是有效的.
研究的目的:
- 制定一个反应-扩散模型,结合非局部空间记忆和感知.
- 研究记忆诱导的扩散,感知强度,记忆延迟和感知尺度对运动动态的影响.
- 分析正稳定状态的稳定性和时空模式.
主要方法:
- 制定一个反应扩散模型,用于记忆和感知的顶级内核.
- 积极稳定状态的稳定性和分叉分析分析.
- 调查参数效应,包括记忆延迟和感知尺度.
主要成果:
- 虚弱的记忆和感知保持稳定;更大的感知尺度保持稳定.
- 随着感知尺度的缩小,不稳定性会出现,导致分叉.
- 图灵和霍夫分叉发生在强烈的记忆和感知中,产生不均的状态或周期性解决方案.
结论:
- 空间记忆和感知在很大程度上影响了动物的运动动态和空间模式.
- 参数变化可能导致复杂的分叉,改变稳定性并产生多样化的时空行为.
- 该模型提供了关于生态因素如何影响集体动物运动的见解.
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