在灭绝的阴影下,霍普斯的分支:通过致命的突变和衰落的祖先感染,与流行病动态合作
Ali Demirci1, Ayse Peker-Dobie1, Cihangir Ozemir1
1Department of Mathematics Engineering, Faculty of Science and Letters, Istanbul Technical University, Istanbul 34469, Turkiye.
Bio Systems
|February 8, 2025
概括
这项研究使用控制理论来管理易感染易感染模型中的疾病动态. 研究人员的目标是控制Hopf分叉并诱导极限周期,以获得更好的疾病管理策略.
科学领域:
- 数学生物学 数学生物学
- 控制理论 控制理论
- 流行病学 流行病学
背景情况:
- 霍普和退化的霍普分叉对于理解动态系统行为至关重要.
- 易感-传染-易感 (SIS) 模型是研究传染病传播的基本框架.
研究的目的:
- 在SIS模型中调查Hopf分叉的控制.
- 利用布拉加的控制理论来操纵系统参数并诱导极限周期.
主要方法:
- 将布拉加的控制理论应用于SIS模型.
- 在控制输入下对平衡点的分析.
- 对参数操纵的可控性原则的研究.
主要成果:
- 证明对1和2共维的Hopf分叉的控制能力.
- 通过参数调整诱导极限周期.
- 了解控制参数如何影响疾病动态.
结论:
- 控制理论为管理流行病学模型中的分叉提供了一个框架.
- 参数操纵可以塑造传染病的振荡行为.
- 该研究提供了一种实用方法,通过分叉控制来控制疾病动态.
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