基于集群流行病系统的网络的通用外部同步-Covid-19对流感的方法
Muhammad Marwan1, Maoan Han1, Rizwan Khan2
1School of Mathematical Sciences, Zhejiang Normal University, Jinhua, China.
PloS one
|October 12, 2023
概括
本研究介绍了同步多层网络的控制器,使用合矩阵和利亚普诺夫理论分析COVID-19和流感等混乱系统. 这项研究模拟了COVID-19随着时间的推移而减弱的情况,显示了它与流感动态的趋同.
科学领域:
- 复杂系统科学 复杂系统科学
- 网络理论 网络理论
- 数学生物学 数学生物学
背景情况:
- 现实世界的系统通常被建模为多层网络.
- 了解这些网络的动态和同步在各个领域至关重要.
研究的目的:
- 开发用于同步多层网络的控制器.
- 分析混乱系统,特别是COVID-19和流感动态之间的关系.
- 为了调查COVID-19随着时间的推移减弱并类似于流感的潜力.
主要方法:
- 利用利亚普诺夫理论和合矩阵来分析网络同步.
- 开发了一个控制器来连接集群中的同步模型路径.
- 在数值模拟中使用MATLAB来验证分析结果.
主要成果:
- 展示了一个控制器,将同步模型连接到集群中.
- 研究了流感和COVID-19混乱系统之间的同步.
- 提供了分析和数值证据,证明COVID-19的弱化趋向于类似流感的动态.
结论:
- 开发的控制器有效地管理同步的多层网络.
- 外部同步在生物系统中发挥作用,疾病动态就是一个例子.
- 数学建模可以预测COVID-19等传染病的演变.
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