在捕食者与猎物的相互作用模型中,恐惧和Allee效应对它们生长的联合影响
Kawkab Al Amri1, Qamar J A Khan1, David Greenhalgh2
1College of Science, Sultan Qaboos University, Oman.
Mathematical biosciences and engineering : MBE
|December 19, 2024
概括
这项研究探讨了掠食者-猎物动态与Allee效应和恐惧,发现恐惧对掠食者的影响比猎物更大. 一个生态流行病学模型显示,艾利门和恐惧可能导致人口减少或灭绝.
科学领域:
- 生态生态学 生态生态学
- 数学生物学 数学生物学
- 人口动态 人口动态
背景情况:
- 捕食者-猎物模型对于理解生态相互作用至关重要.
- 结合Allee效应和恐惧反应,增加了人口动态的复杂性.
- 生态流行病学模型将疾病动态与生态相互作用相结合.
研究的目的:
- 通过使用霍林格I型功能反应,研究掠食者-猎物模型与Allee和恐惧效应.
- 分析恐惧和艾利对人口密度和稳定的影响.
- 检查一种生态流行病学模型,对猎物的疾病进行研究,考虑恐惧和Allee效应.
主要方法:
- 开发和分析了二维的捕食者-猎物模型.
- 使用捕食者死亡率和时间延迟作为分叉参数.
- 执行数值模拟以说明人口动态和稳定性.
- 在捕食者-猎物和生态流行病学模型中研究了霍夫分叉.
主要成果:
- 捕食者-猎物模型显示了共存平衡的Hopf分叉.
- 恐惧强度对捕食者种群产生了负面影响,但对猎物的长期影响很小.
- 在生态流行病学模型中,增加Allee值导致猎物和捕食者减少,但感染猎物的数量增加.
- 高恐惧强度导致掠食者灭绝,疾病传播增加.
结论:
- 恐惧效应可以显著减少捕食者种群.
- 迷路效应和恐惧可以破坏群体的稳定,并导致复杂生态系统的灭绝.
- 时间延迟对于保持捕食者-猎物和生态流行病学模型的稳定性至关重要.
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