捕食者-猎物系统的动态分析,恐惧引起的斑块之间的分散
Jin Zhong1, Yue Xia1, Lijuan Chen1
1School of Mathematics and Statistics, Fuzhou University, Fuzhou, Fujian 350108, China.
Mathematical biosciences and engineering : MBE
|April 29, 2025
概括
这项研究表明,捕食者恐惧会影响猎物迁徙. 最佳的猎物种群密度是通过适度的分散来实现的,而高的分散会导致灭绝.
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:
- 捕食者与猎物的相互作用是生态学的基础.
- 捕食者引起的恐惧可以影响猎物的行为和种群动态.
- 空间动态,包括迁移,在物种持续存在方面发挥着至关重要的作用.
研究的目的:
- 为了研究一个不一致的种群模型,捕食者诱导的恐惧驱动猎物迁移.
- 分析在恐惧效应下捕食者-猎物系统的持久性和稳定性.
- 探索分散率和恐惧参数对人口密度的影响.
主要方法:
- 利用动态系统理论来分析模型.
- 研究了均衡的局部和全球稳定性.
- 使用分叉分析,将扩散系数作为分叉参数.
主要成果:
- 在微不足道的平衡点附近证明了跨临界分叉,表明了人口状态的变化.
- 发现低分散率有利于捕食者和猎物物种的共存.
- 确定高的分散率可能导致一种或两种物种的灭绝.
- 确定了最大化猎物种群密度的最佳扩散系数的存在.
- 表明恐惧效应水平 (k) 和最大恐惧成本 (η) 对猎物种群密度产生积极影响.
结论:
- 分散策略显著影响掠食者-猎物系统的稳定性和物种的共存.
- 恐惧驱动的迁徙可以为猎物种群优化创造条件.
- 空间动态和行为反应 (恐惧) 之间的相互作用对于理解生态系统至关重要.
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