在捕食者-猎物动态中,饥饿驱动的扩散.
Xun Cao1, Weihua Jiang1, Hao Wang2
1School of Mathematics, Harbin Institute of Technology, Harbin, 150001, People's Republic of China.
Journal of mathematical biology
|December 22, 2025
概括
捕食者-猎物模型中的饥饿驱动扩散 (SDD) 增强了物种的迁移. 本研究分析了SDD对捕食者和猎物的共存和稳定性的影响,揭示了物种生存和复杂种群动态的条件.
科学领域:
- 数学生物学 数学生物学
- 生态生态学 生态生态学
- 动态系统 动态系统
背景情况:
- 饥饿驱动扩散 (SDD) 是一种行为策略,在面对饥饿时,物种会增加运动.
- 捕食者-猎物系统是基本的生态模型,但SDD对捕食者和猎物的影响尚未得到充分探索.
研究的目的:
- 调查捕食者-猎物系统中的稳定性和共存条件,其中两种物种都表现出SDD.
- 用分叉理论分析非微不足道的稳定状态和时空动态的出现和特征.
主要方法:
- 对于稳定状态稳定性的线性自值问题分析.
- 克兰德尔-拉比诺维茨和全球分叉定理用于分析稳定状态分叉.
- 适用于具有霍林格II/IV型功能反应的捕食者-猎物模型.
- 数字模拟用于验证理论发现并观察复杂的动态.
主要成果:
- 半微不足道的稳定状态的稳定性取决于转换效率和捕食者运动性.
- 当半微不足道的状态不稳定时,共存是可能的.
- 关键的转换效率触发了稳定状态的分叉,导致了非微不足道的解决方案.
- 观察到空间不均的周期解,反映了资源分布.
结论:
- SDD显著影响掠食者-猎物动态,影响稳定性和共存.
- 分叉理论为复杂的人口分布的出现提供了洞察力.
- 观察到的解决方案与理想的自由分布保持一致,这表明在资源稀缺的情况下适应性移动策略.
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