Interpreting models of infectious diseases in terms of integral input-to-state stability
Interpreting models of infectious diseases in terms of integral input-to-state stability
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DOI：
10.1007/s00498-020-00272-w
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发表时间：
2020-04
期刊：
影响因子：
--
通讯作者：
H. Ito
中科院分区：
文献类型：
--
作者：
H. Ito
本文的目的是发展一个系统理论的方法来确定性地描述流行病流行的动力学常微分方程。方程被视为互连，其中组件系统连接的信号。在控制系统的分析和设计中，积分输入-状态稳定性（iISS）和输入-状态稳定性（ISS）的概念可以有效地解决全局非线性问题，而不受控制域的限制。它们为基于模块的方法集成组件系统的特性提供了有用的工具。本文用iISS和组件与整体系统的ISS语言表达了传染病与疫苗接种模型的基本性质。系统的治疗，预计将促进通过非传统的李雅普诺夫函数控制疾病传播的有效方案的发展。
This paper aims to develop a system-theoretic approach to ordinary differential equations which deterministically describe dynamics of prevalence of epidemics. The equations are treated as interconnections in which component systems are connected by signals. The notions of integral input-to-state stability (iISS) and input-to-state stability (ISS) have been effective in addressing nonlinearities globally without domain restrictions in analysis and design of control systems. They provide useful tools of module-based methods integrating characteristics of component systems. This paper expresses fundamental properties of models of infectious diseases and vaccination through the language of iISS and ISS of components and whole systems. The systematic treatment is expected to facilitate development of effective schemes of controlling the disease spread via non-conventional Lyapunov functions.