猎物捕食者系统的局部和全球动态,包括恐惧,Allee效应和可变的攻击率
Shri Harine P1, Ankit Kumar1, Reshma K P1
1Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Chennai, Tamil Nadu 600127, India.
Chaos (Woodbury, N.Y.)
|September 19, 2024
概括
猎物恐惧和捕食者 模型中的Allee效应揭示了复杂的动态. 捕食者的生存取决于恐惧,Allee强度和初始种群,影响灭绝风险.
科学领域:
- 数学生物学 数学生物学
- 生态生态学 生态生态学
- 人口动态 人口动态
背景情况:
- 害怕猎物的恐惧导致不愿冒风险的行为,影响繁殖.
- 艾利效应描述了避免灭绝所需的最低人口密度.
研究的目的:
- 提出和分析一个捕食者-猎物模型,包括猎物恐惧,捕食者Allee效应和非恒定的攻击率.
- 调查拟议模型的稳定性和分支动态.
主要方法:
- 微分方程的数学建模和分析.
- 研究稳定状态的局部和全球稳定性.
- 对共维一和二分支的分析 (结,霍夫,同临床,丁,博格达诺夫).
- 使用恐惧,Allee和死亡率参数进行双参数分析.
主要成果:
- 该模型表现出丰富的动态行为,包括双稳定性和三稳定性.
- 恐惧成本和Allee效应强度显著影响掠食者的生存.
- 捕食者的生存和灭绝取决于最初的种群密度.
结论:
- 恐惧和小效应创造了复杂的人口动态,对物种生存有影响.
- 该模型强调了初始条件在确定人口轨迹和稳定性方面的关键作用.
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