洛特卡-沃尔特拉捕食者-猎物模型,定期变化的承载能力
Mohamed Swailem1, Uwe C Täuber1,2
1Department of Physics & Center for Soft Matter and Biological Physics, MC 0435, Robeson Hall, 850 West Campus Drive, Virginia Tech, Blacksburg, Virginia 24061, USA.
Physical review. E
|July 19, 2023
概括
定期的环境变化在Lotka-Volterra空间模型中扩大了捕食者与猎物的共存. 季节性变化会产生共振效应,影响追逐-逃避波和物种生存.
科学领域:
- 生态生态学 生态生态学
- 数学生物学 数学生物学
- 统计物理 统计物理
背景情况:
- 洛特卡-沃尔特拉模型描述了掠食者-猎物动态.
- 局限的局部承载能力会影响人口的相互作用.
- 时空模式,如追逐-逃避波,对于活跃阶段至关重要.
研究的目的:
- 研究定期变化的载重能力对捕食者与猎物的共存的影响.
- 分析季节性环境变化对物种动态的影响.
- 将随机格子模拟与平均场近似进行比较.
主要方法:
- 在二维网格上进行蒙特卡洛模拟.
- 动态相关函数的分析.
- 利率方程的平均场分析.
主要成果:
- 承载能力的定期变化扩大了物种共存的参数区域.
- 观察到共振效应,导致长时间的空间相关性.
- 随机波动消除了平均场理论预测的周期翻倍场景.
结论:
- 季节性环境变化可以增强捕食者-猎物系统中的物种共存.
- 随机性和空间相关性起着重要的作用,与平均场预测有所不同.
- 了解共振效应是预测波动环境下的生态动态的关键.
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