猎物群体的防御和一般主义掠食者之间的狩猎合作引发了复杂的动态:一项数学研究
Jyotirmoy Roy1,2, Subrata Dey1, Bob W Kooi3,4
1Department of Mathematics and Statistics, Indian Institute of Technology Kanpur, Kanpur, 208016, India.
Journal of mathematical biology
|July 1, 2024
概括
猎物中的群体防御和捕食者中的合作狩猎稳定了生态系统. 数学建模揭示了复杂的动态,包括影响掠食者-猎物调节和狮子-草食动物相互作用的"盐分平衡".
科学领域:
- 数学生态学数学生态学
- 人口动态 人口动态
- 理论生物学的理论生物学.
背景情况:
- 猎物中的群体防御和捕食者中的合作狩猎是重要的生态相互作用.
- 这些行为可以共存并显著影响人口动态.
研究的目的:
- 开发一个数学框架,分析一般性捕食者的合作狩猎和猎物的群体防御.
- 探索这些行为可以产生的生态动态的多样性.
主要方法:
- 修改了霍林-坦纳模型的霍林类型IV功能响应.
- 通过攻击速度的修改,包括捕食者狩猎合作.
- 线性稳定性分析,常态形式理论和中心多重体理论用于平衡点的表征.
- 分析局部和全球分叉,包括Hopf,结和同临床分叉.
主要成果:
- 该模型表现出多个边界和共存平衡.
- 均衡的数量取决于捕食者的替代食物可用性.
- 全球分叉引发了独特的"泡"动态.
- 两叉图说明了复杂的动态过渡.
结论:
- 猎物和捕食者的群体行为对生态系统有稳定作用.
- 该模型支持捕食者-草食者调节假设.
- 它强调了"盐的平衡",并模拟了狮子与草食动物的相互作用动态.
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