自主和非自主修改的莱斯利-高尔模型的分支分析
Subarna Roy1, Nazmul Sk2, Pankaj Kumar Tiwari1
1Department of Basic Science and Humanities, Indian Institute of Information Technology, Bhagalpur 813210, India.
Chaos (Woodbury, N.Y.)
|February 22, 2024
概括
捕食者诱导的恐惧会影响猎物的出生率,但不会影响生存率. 这项研究以恐惧,合作和季节性来模拟掠食者-猎物动态,揭示了混乱和潜在的猎物灭绝或人口控制等复杂的行为.
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:
- 捕食者诱导的恐惧通过降低出生率显著影响猎物种群.
- 猎物物种表现出性,尽管存在恐惧引起的成本,但仍能生存下来.
研究的目的:
- 为了研究一个改进的莱斯利-高尔捕食者-猎物模型,结合捕食者诱导的恐惧,合作狩猎和捕食者-出租车敏感性.
- 分析模型的数学属性,包括解决方案的阳性,边界性和平衡点稳定性.
- 探索对掠食者-猎物动态的分叉和季节性影响.
主要方法:
- 开发了一种经过修改的莱斯利-高尔捕食者-猎物模型.
- 分析溶液的阳性,边界性和平衡稳定性的分析.
- 研究跨临界,结,霍夫,博格达诺夫-塔肯斯,和一般化-霍夫分叉.
- 该模型的非自主扩展包括季节性.
- 数字模拟用于观察动态行为.
主要成果:
- 该模型展示了生态可行的平衡点和复杂的稳定条件.
- 确定了各种分叉场景,包括双稳定性.
- 季节性强迫引入了复杂的动态,如周期性解决方案,混乱和破裂模式.
- 捕食者-出租车敏感度和狩猎合作的季节性变化可能导致猎物灭绝或控制混乱的动态.
结论:
- 修改后的捕食者-猎物模型准确地捕捉了复杂的生态相互作用和种群动态.
- 季节性强迫可以显著影响人口稳定性,潜在地控制混乱的行为和促进准周期性人口安排.
- 这项研究强调了恐惧,合作和季节性在捕食者-猎物系统中的关键作用.
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