论文标题
可观察性，可识别性和流行病学 - 一项调查
Observability, Identifiability and Epidemiology -- A survey
论文作者
论文摘要
在这篇综述中，我们回想起动态系统可识别性和可观察性的概念，并在数学流行病学的框架中分析它们。我们表明，即使对于文献的简单且知名的模型，这些属性也不总是实现。然后，我们考虑可识别性和可观察性的问题，这些问题与灵敏度和数值数字有关。我们还回想起观察者对未观察到的模型变量的概念，并显示如何与流行病学模型一起使用。
In this review, we recall the concepts of Identifiability and Observability of dynamical systems, and analyse them in the framework of Mathematical Epidemiology. We show that, even for simple and well known models of the literature, these properties are not always fulfilled. We then consider the problem of practical identifiability and observability, which are connected to sensitivity and numerical condition numbers. We also recall the concept of observers to reconstruct state variable of the model which are not observed, and show how it can used with epidemiological models.
