在具有多个斑点的掠食系统中,猎物的不对称扩散
Weiting Song1, Shikun Wang2, Yuanshi Wang3
1School of Mathematics, Sun Yat-Sen University, Guangzhou, 510275, PR China.
Mathematical biosciences
|December 21, 2025
概括
在斑块之间猎物的移动可以稳定捕食者-猎物动态. 最佳的传播策略可以增强种群,有利于生态保护和管理.
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-猎物系统是生态理解的基础.
- 斑点动态和物种分散是影响种群稳定的关键因素.
- 以前的模型经常简化了空间结构,限制了对复杂相互作用的洞察力.
研究的目的:
- 分析具有多个补丁和移动猎物的掠食者-猎物模型.
- 调查猎物扩散率对种群动态和稳定的影响.
- 确定促进共存和增强人口丰富的条件.
主要方法:
- 多补丁捕食者-猎物系统的数学建模.
- 严格分析模型解决方案,包括非负面性和局限性.
- 稳定性分析以确定全球非对称稳定平衡的条件.
- 在双补丁和多补丁场景中模拟和分析扩散效应.
主要成果:
- 建立了系统平衡的全球非对称稳定性的条件.
- 证明猎物扩散可以导致捕食者持久性的平稳过渡 (例如,在一个区域生存,在两个区域灭绝).
- 展示了猎物扩散可以创造一个"双赢"的场景,增加猎物和捕食者的总人口丰度.
- 确定优先扩散可以最大限度地提高人口丰富度.
结论:
- 猎物的分散显著影响掠食者-猎物系统的稳定性和种群动态.
- 优化猎物扩散策略可以提高种群规模,为保护提供有价值的见解.
- 这项研究扩展了生态理论,通过证明在多贴片环境中分散的好处.
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