限制食物的植物-食草动物模型:分支,持久性和稳定性
E Bešo1, S Kalabušić1, E Pilav1
1Department of Mathematics and Computer Science, University of Sarajevo, 71000 Sarajevo, Bosnia and Herzegovina.
Mathematical biosciences
|February 8, 2024
概括
这项研究分析了一种植物-食草动物模型,发现灭绝和排除点是稳定的. 分叉表明复杂的动态,食物限制显著影响人口稳定.
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:
- 植物 - 草食动物相互作用是生态系统稳定的基础.
- 草食动物的食物限制显著影响了种群动态.
- 离散模型为复杂的生态相互作用提供了洞察力.
研究的目的:
- 分析平衡点在2D离散植物-草食动物模型中的稳定性.
- 在模型中调查分叉和持久性条件.
- 了解食物限制对人口动态的影响.
主要方法:
- 均衡点的分析 (灭绝,排斥,共存).
- 证明灭绝和排斥点的全球非对称稳定性.
- 调查跨临界,尼马克-萨克和周期双重分叉.
- 数字模拟用于验证理论发现.
主要成果:
- 灭绝和排斥平衡在全球范围内在特定地区是异常稳定的.
- 跨临界和周期翻倍的分叉发生在边界平衡处,导致稳定的两周期.
- 内部平衡表现出跨临界,尼马克-萨克尔和周期翻倍的分叉.
- 内部平衡的局部稳定性不能保证系统的持久性;观察到双稳定性.
结论:
- 食物限制是影响模型动态行为的关键参数.
- 复杂的动态,包括双稳定性,源于植物-食草动物系统内的相互作用.
- 该模型表明,生态稳定性取决于参数,并且可以表现出复杂的模式.
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