与N个菌株共感染系统中的近中性动态以及沿着多个特征的不对称性
Thi Minh Thao Le1, Erida Gjini2, Sten Madec3
1Department of Mathematics and Statistics, Masaryk University, Brno, Czech Republic.
Journal of mathematical biology
|August 28, 2023
概括
这项研究简化了复杂的多菌株联合感染动态,使用单一扰乱理论. 该模型揭示了特征变异如何影响生态和流行病学系统中的菌株频率和多样性维护.
科学领域:
- 生态学和流行病学.
- 数学生物学 数学生物学
- 进化的动力学.
背景情况:
- 具有多个菌株的联合感染系统由于高维度和反循环而存在复杂的挑战.
- 了解特征相互作用对于生态和流行病学应用至关重要.
- 准中立性假设通过将特征变异建模为参数扰动来简化分析.
研究的目的:
- 应用单一扰动理论来分析多菌株共同感染的动态.
- 通过分析推导出N个菌株的明确集体动态.
- 研究一个具有5个适应性维度的准中性易感-感染-易感 (SIS) 模型.
主要方法:
- 单一扰动理论同时应用于多个菌株参数.
- 慢速分解以分离中性和非中性动态.
- 对N维复制器方程的分析,该方程控制着应变频率.
主要成果:
- 显式的集体动力学,通过分析推导出来.
- 双对入侵适合性是特征不对称性的明确加权和.
- 重量仅取决于中立系统参数.
- 模型缩小突出了中性系统对于接近中性的动态的重要性.
结论:
- 单一扰动理论有效地简化了复杂的共同感染动态.
- 中立系统在中立边缘的动态中起着核心作用.
- 该模型揭示了在多菌株系统中维持多样性的关键因素.
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