两叉分析和非逃亡猎物的恐惧诱导反应与捕食者之间的合作狩猎:决定性和随机动态
Subarna Roy1, Abhijit Sarkar2, Nazmul Sk3
1Department of Basic Science and Humanities, Indian Institute of Information Technology, Bhagalpur, 813210, India.
Mathematical biosciences
|February 7, 2026
概括
捕食者-猎物动态是复杂的,受猎物恐惧和捕食者狩猎的影响. 高度的恐惧可以简化共存,但高捕食者合作率或低猎物出生率可能会导致没有避难所的灭绝.
科学领域:
- 数学建模的数学建模
- 生态动力学 生态动力学
- 人口生物学 人口生物学
背景情况:
- 捕食者与猎物的相互作用对生态系统的稳定性至关重要.
- 恐惧,寻求庇护和合作狩猎显著影响了这些动态.
- 了解这些因素对于预测人口波动至关重要.
研究的目的:
- 开发一个数学模型,结合猎物恐惧,寻求庇护和捕食者合作狩猎.
- 在捕食者-猎物系统中分析平衡点和分叉点的稳定性.
- 研究恐惧,避难和狩猎合作如何影响物种的共存.
主要方法:
- 开发一个数学模型的捕食者-猎物动态.
- 对系统平衡点和分叉现象的分析.
- 数字模拟用于生成时间序列解决方案和静止分布.
主要成果:
- 该模型表现出两个稳定的平衡点的双稳定性.
- 增加的恐惧简化了物种的共存,即使避难所和猎物出生率更高.
- 捕食者的高度合作或猎物的低出生率可能导致猎物在没有避难所的情况下灭绝.
- 足够的避难所允许猎物持续存在,尽管出生率低.
- 噪音强度的增加可以将动态从共存转变为没有捕食者的状态.
结论:
- 恐惧,避难和合作狩猎是捕食者-猎物动态中的关键因素.
- 系统稳定性和物种共存对这些行为和环境参数都很敏感.
- 噪音强度可能会破坏共存的稳定,导致捕食者缺席.
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