非局部相互作用对混乱动态,图灵模式和在猎物掠食者模型中的人口入侵的影响
Reeta Yadav1, Swadesh Pal2, Moitri Sen1
1Department of Mathematics, NIT Patna, Bihar 800005, India.
Chaos (Woodbury, N.Y.)
|October 20, 2023
概括
猎物-掠食者模型中的非局部相互作用可以创建复杂的空间模式,包括周期波和不齐的结构. 这项研究揭示了这些非局部影响如何影响人口动态和模式形成,影响掠食者生存和入侵动态.
科学领域:
- 数学生物学 数学生物学
- 理论生态学理论生态学
- 非线性动力学是一种非线性动力学.
背景情况:
- 模式形成对于理解环境条件下的人口组织至关重要.
- 猎物-掠食者模型对于研究生态相互作用至关重要.
- 阿利效应和狩猎合作显著影响着种群动态.
研究的目的:
- 研究一个猎物-掠食者模型的非局部时空动态.
- 分析非本地内特定猎物竞争对模式形成的影响.
- 将本地和非本地模型进行比较,以了解非本地相互作用的作用.
主要方法:
- 对图灵分叉和霍夫分叉的分析研究.
- 数字模拟用于探索时空模式.
- 在非局部模型中分析空间-霍夫分叉.
主要成果:
- 非局部相互作用可以诱导空间-霍夫分叉,导致周期性的时空模式.
- 增加的非局部相互作用范围抑制了图灵模式.
- 非局部效应可以导致捕食者在低扩散速率下灭绝,或者在更高速率下导致冲动波.
- 非局部模型产生不一致的入侵结构,与局部模型的同质结构不同.
结论:
- 非局部相互作用从根本上改变了猎物捕食者系统中的模式形成和种群动态.
- 非局部相互作用的范围和强度决定了生态结果,包括模式类型和人口持久性.
- 这项研究强调了将非局部效应纳入现实的生态建模的重要性.
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