捕食者-猎物模型中的多稳定和时空分层模式与捕食者-出租车和延迟
Yue Xing1, Weihua Jiang1, Xun Cao1
1School of Mathematics, Harbin Institute of Technology, Harbin 150001, China.
Mathematical biosciences and engineering : MBE
|December 5, 2023
概括
捕食者出租车和转换时间延迟显著影响捕食者猎物动态,创造复杂的空间模式和多样化的生存策略. 强大的捕食者税率可以抑制扩散驱动的模式,而组合效应会产生可比化的异质模式.
科学领域:
- 数学生物学 数学生物学
- 生态建模 生态建模
- 动态系统理论 动态系统理论
背景情况:
- 捕食者-猎物模型对于理解生态动态至关重要.
- 时空模式的形成对于物种的生存和生态系统的稳定性至关重要.
- 图灵和霍夫分叉是推动生物系统模式出现的关键机制.
研究的目的:
- 调查捕食者-猎物模型中捕食者-捕食者出租车和转换时间延迟对模式形成的影响.
- 确定破坏共存平衡的关键条件.
- 预测各种空间模式的出现,包括双稳定和多稳定状态.
主要方法:
- 数学分析以证明正确位置并确定分叉条件.
- 图灵,图灵-图灵,霍普,霍普-霍普和图灵-霍普分叉的分析.
- 数字模拟用于验证理论预测并探索复杂模式动态.
主要成果:
- 通过各种分叉,建立了破坏共存平衡的关键条件.
- 预测了双稳定/多稳定的空间异质模式的形成.
- 证明强大的捕食者出租车可以消除自我扩散驱动的模式.
- 展示了捕食者出租车和时间延迟如何共同诱导复杂的生存模式,例如可分类的分级和同步周期性模式.
结论:
- 捕食者出租车和转换时间延迟是塑造捕食者-猎物时空动态的重要因素.
- 这些因素可能导致复杂的生存策略,使人口动态多样化.
- 该研究提供了对生态模型的模式形成和稳定性的理论见解.
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