由非局部感知驱动的模式形成在延迟松病模型中,具有顶帽内核.
Jia Li1, Yuting Ding2, Yongli Song3
1Department of Mathematics, Northeast Forestry University, Harbin, 150040, P. R. China.
Bulletin of mathematical biology
|August 9, 2025
概括
非局部感知影响动物的运动和疾病的传播. 这项研究揭示了感知尺度和延迟如何影响模式形成,为控制松病提供了洞察力,并了解像群体这样的集体行为.
科学领域:
- 数学生物学 数学生物学
- 生态生态学 生态生态学
- 动物行为 动物行为
背景情况:
- 非局部感知是理解动物运动和集体行为的关键.
- 松病的动态涉及复杂的时空模式.
研究的目的:
- 分析非局部感知对模式形成的影响.
- 将这些发现应用于模拟和控制松病.
- 调查感知尺度和延迟系统稳定性的作用.
主要方法:
- 非局部感知的数学建模.
- 图灵-霍夫双叉的分析.
- 具有生物相关参数的数值模拟.
- 数据分析用于参数选择.
主要成果:
- 感知尺度和延迟的相互作用可以导致图灵-霍夫分叉.
- 模拟了各种时空模式,包括峰值交替周期和聚合模式.
- 人工引入自然敌人可以稳定害虫种群.
结论:
- 非局部感知为松病爆发和聚合提供了理论基础.
- 这项研究解释了疾病传播机制,并有助于理解群体和群体.
- 涉及自然敌人的控制策略可以有效地管理害虫种群.
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