Uncertain differential equations have a wide range of applications. How to obtain estimated values of unknown parameters in uncertain differential equations through observations has always been a subject of concern and research, many methods have been developed to estimate unknown parameters. However, these parameters are constants. In this paper, the method of least squares estimation is recast for estimating the unknown time-varying parameters in uncertain differential equations. A set of unknown time-varying parameter estimates will be obtained, and then the unknown time-varying parameters will be obtained by regression fitting using the estimated values. Using this method, the uncertain differential equation of blood alcohol concentration in human body after drinking and the uncertain differential equation of COVID-19 are derived.
翻译：如何通过观察和研究获得不确定差异方程式中未知参数的估计值一直是人们关注和研究的一个问题,已经制定了许多方法来估计未知参数。然而,这些参数是常数。在本文中,为估计不确定差异方程式中未知时间变化参数,将重新制定最小方形估计法。将获得一套未知时间变化参数估计数,然后通过利用估计值进行回归调整,得出未知时间变化参数。使用这种方法,得出了饮后人体血液酒精浓度的不确定差异方程式以及COVID-19的不确定差异方程式。
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