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一个离散的两个补丁模型的动态分析与Allee效应和非线性分散
Minjuan Gao1, Lijuan Chen1, Fengde Chen1
1School of Mathematics and Statistics, Fuzhou University, Fuzhou 350108, Fujian, China.
Mathematical biosciences and engineering : MBE
|June 14, 2024
概括
这项研究分析了一种具有Allee效应和非线性分散的双贴片种群模型. 我们探讨了这些因素如何影响人口动态和连接息地的稳定性.
科学领域:
- 数学生物学 数学生物学
- 生态生态学 生态生态学
- 人口动态 人口动态
背景情况:
- 种群模型对于理解物种生存至关重要.
- 艾利效应和非线性分散显著影响了种群动态.
研究的目的:
- 为了研究离散时间双补丁模型的动态行为.
- 分析艾利效应和非线性分散对系统动态的影响.
主要方法:
- 固定点及其稳定性的分析.
- 应用中央多样数定理和分叉理论.
- 数字模拟用于验证理论发现.
主要成果:
- 确定了固定点的存在和稳定性.
- 发现并分析了折叠和翻转的分叉.
- 艾利效应和非线性分散被证明改变了系统动态.
结论:
- 该研究提供了对空间结构人口的复杂动态的洞察.
- 了解这些动态对于保护和管理策略至关重要.
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