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Uncertain chemical reaction equation

Han Tang and Xiangfeng Yang

Applied Mathematics and Computation, 2021, vol. 411, issue C

Abstract: Reaction rate is a particularly important research object in chemical kinetics, and it is a measure of how fast a chemical reaction goes. In order to illustrate and clarify the evolution of concentration of a substance involved in the reaction, this paper derives an uncertain chemical reaction equation based on the theory of uncertain differential equation. By using the actual observations, one can estimate the parameters presented in the uncertain chemical reaction equation. As an application, the half-life of reaction is investigated. Finally, a paradox for stochastic chemical kinetics is given.

Keywords: Uncertainty theory; Chemical kinetics; Uncertain differential equation; Parameter estimation; Half-life of reaction (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:411:y:2021:i:c:s0096300321005683

DOI: 10.1016/j.amc.2021.126479

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