Uncertain chemical reaction equation

作者：

Highlights：

• The reaction rate in chemical kinetics is firstly analyzed by taking the form of uncertain differential equation.

• The method of moments is used to estimate the parameters involved from the observations.

• The half-life of reaction has been developed to discover how quickly the concentration of the reactant decreased.

• A paradox associated with stochastic chemical kinetics is presented.

摘要

•The reaction rate in chemical kinetics is firstly analyzed by taking the form of uncertain differential equation.•The method of moments is used to estimate the parameters involved from the observations.•The half-life of reaction has been developed to discover how quickly the concentration of the reactant decreased.•A paradox associated with stochastic chemical kinetics is presented.

论文关键词：Uncertainty theory,Chemical kinetics,Uncertain differential equation,Parameter estimation,Half-life of reaction

论文评审过程：Received 4 March 2021, Revised 8 May 2021, Accepted 23 June 2021, Available online 11 July 2021, Version of Record 11 July 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2021.126479