扩散性捕食者-猎物模型的时空空间动态与捕食者的延迟和Allee效应
1School of Mathematics and Data Science, Shaanxi University of Science and Technology, Xi'an 710021, China.
Mathematical biosciences and engineering : MBE
|December 5, 2023
概括
这项研究探讨了捕食者-猎物动态,捕食者Allee效应和消化延迟. 研究结果揭示了延迟和扩散如何相互作用,从而产生复杂的时空模式,影响物种的持久性.
科学领域:
- 生态生态学 生态生态学
- 数学生物学 数学生物学
- 理论生态学理论生态学
背景情况:
- 艾利效应影响着种群动态和物种持续性.
- 猎物Allee效应得到了很好的研究,但捕食者Allee效应的理解较少.
- 捕食者-猎物模型对于理解生态相互作用至关重要.
研究的目的:
- 在扩散性捕食者-猎物模型中研究时空动力学.
- 分析消化延迟和掠食者艾利效应的影响.
- 探索延迟,扩散和人口动态之间的相互作用.
主要方法:
- 分析由扩散引起的稳定性和不稳定性条件.
- 研究延迟对系统动态的影响,包括Hopf分叉.
- 图灵-霍夫分叉分析,以分类在分叉点附近的动态.
主要成果:
- 在正平衡状态下,扩散会诱导稳定性/不稳定性.
- 延迟可以稳定,破坏稳定,或诱导霍夫分叉,这取决于Allee效应的水平.
- 复杂的时空行为出现,包括共存的稳定周期和准周期解决方案.
结论:
- 捕食者艾利效应显著改变了捕食者-猎物动态.
- 延迟和扩散共同产生了新的复杂的时空模式.
- 这项研究加深了对捕食者种群的理解,以及它们对生态的影响.
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