互干干扰是否稳定了猎物-掠食者模型与巴齐金-克劳利-马丁奖杯函数?
Yuri Tyutyunov1, Deeptajyoti Sen2, Malay Banerjee3
1Southern Scientific Centre of the Russian Academy of Sciences, 41 Chekhov St., Rostov-on-Don, 344006, Russia.
Mathematical biosciences
|April 18, 2024
概括
使用Bazykin-Crowley-Martin (BCM) 函数建模的捕食者干扰影响了猎物-捕食者动态. 适度的干扰稳定了生态系统,而极端的干扰可能会导致捕食者灭绝.
科学领域:
- 生态生态学 生态生态学
- 数学生物学 数学生物学
- 理论生态学理论生态学
背景情况:
- 捕食者-猎物模型对于理解生态系统稳定性至关重要.
- 艾利效应和捕食者干扰显著影响着种群动态.
- 巴齐金-克劳利-马丁 (BCM) 奖杯函数模拟了捕食者之间的相互干扰.
研究的目的:
- 分析捕食者相互干扰对猎物捕食者系统动态的影响.
- 通过使用BCM热量函数,研究捕食者干扰的稳定或不稳定作用.
- 导出模型中各种分叉的分析条件.
主要方法:
- 开发了一个普通微分方程系统,其中包含了Allee效应和BCM热量函数.
- 执行分叉分析以识别关键参数值和系统行为中的过渡.
- 进行数值模拟以验证分析结果并可视化动态.
主要成果:
- 确定了结,霍夫,尖端和博格达诺夫-塔肯斯分叉的条件.
- 量化了捕食者干扰强度,Allee效应和捕食效率对分叉的影响.
- 观察到,低和非常高的捕食者干扰都会增加灭绝风险.
结论:
- 适度的捕食者干扰促进了猎物捕食者系统的稳定性和弹性.
- 该BCM热量函数揭示了干扰和系统稳定性之间的非单调关系.
- 这些发现与其他捕食者依赖模型一致,突出了干扰水平的关键作用.
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