在具有延迟反的离散人口模型中对平衡的吸引力:阶段结构与年龄结构对比
Hassan A El-Morshedy1, Alfonso Ruiz-Herrera2
1Departament of Mathematics, Faculty of Science, Damietta University, Damietta, Egypt.
Journal of mathematical biology
|March 20, 2025
概括
有时间延迟和阶段结构的生物种群模型显示,在繁殖期之外的竞争会导致长期的波动. 成人招募形式影响人口动态,竞赛类型的竞争防止了这种波动.
科学领域:
- 人口动态 人口动态
- 数学生物学 数学生物学
- 生态生态学 生态生态学
背景情况:
- 生物种群通常表现出时间延迟和不同的生命阶段.
- 了解这些特征对于准确的人口建模和生态预测至关重要.
研究的目的:
- 用简单的模型研究时间延迟和阶段结构对人口动态的影响.
- 根据什么时候发生相对于繁殖的内属竞争来区分种群动态.
- 分析成人招聘模式在人口稳定中的作用.
主要方法:
- 开发和分析生物种群的简单数学模型.
- 在不同时间场景下对种内竞争的种群动态进行比较.
- 调查成年人招募形式对人口稳定性的影响.
- 在离散的,非单调的系统中推导全球吸引力的数学标准.
主要成果:
- 时间延迟,特别是当在繁殖期之外发生种内竞争时,可能导致长期的人口波动.
- 成人招聘模式显著影响人口动态;竞赛类型的竞争通常不会产生长期波动.
- 在离散的,非单调的系统中建立了全球吸引力的两个一般标准.
结论:
- 相对于繁殖,物种内部竞争的时间是产生种群振荡的关键因素.
- 阶段结构,特别是成年人招募的性质,在人口稳定中起着关键作用.
- 这项研究为分析离散动态系统的稳定性提供了新的数学标准.
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