Further Insight into Bifurcation and Hybrid Control Tactics of a Chlorine Dioxide-Iodine-Malonic Acid Chemical Reaction Model Incorporating Delays

IF 2.9 2区化学 Q2 CHEMISTRY, MULTIDISCIPLINARY

Match-Communications in Mathematical and in Computer Chemistry Pub Date : 2023-01-01 DOI:10.46793/match.89-3.529m

D. Mu, Changjin Xu, Zixin Liu, Yicheng Pang

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引用次数: 27

Abstract

Delayed differential equation is an important tool to describe the interaction of different chemical substance in chemistry. In this present research, we set up a novel chlorine dioxide-iodine-malonic acid chemical reaction model incorporating delays. The peculiarity of solution and Hopf bifurcation of the formulated delayed chlorine dioxide-iodine-malonic acid chemical reaction model are explored. Firstly, the existence and uniqueness is investigated via fixed point theorem. Secondly, the non-negativeness of solution is studied via some proper mathematical inequality shills. Thirdly, the stability and bifurcation of the formulated delayed chlorine dioxide-iodine-malonic acid chemical reaction model are analyzed. The influence of delay on the delayed chlorine dioxide-iodine-malonic acid chemical reaction model is uncovered. Fourthly, Hopf bifurcation control issue of the formulated delayed chlorine dioxide-iodine-malonic acid chemical reaction model is studied via two hybrid controllers. To check the soundness of acquired key assertions, Matlab simulations are executed. The gained assertions of this research are completely novel and possess tremendous theoretical value in maintaining the balance of the concentrations of chlorine dioxide, iodine in chemistry.

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含时滞的二氧化氯-碘-丙二酸化学反应模型分岔及混合控制策略的进一步认识

延迟微分方程是化学中描述不同化学物质相互作用的重要工具。在本研究中，我们建立了一个包含延迟的二氧化氯-碘-丙二酸化学反应模型。探讨了所建立的延迟二氧化氯-碘-丙二酸化学反应模型的溶液特性和Hopf分岔。首先，利用不动点定理研究了系统的存在唯一性。其次，利用一些适当的数学不等式技巧研究了解的非负性。第三，对所建立的延迟二氧化氯-碘-丙二酸化学反应模型的稳定性和分岔性进行了分析。揭示了延迟对延迟二氧化氯-碘-丙二酸化学反应模型的影响。第四，通过两个混合控制器研究了所建立的延迟二氧化氯-碘-丙二酸化学反应模型的Hopf分岔控制问题。为了验证所获取的关键断言的正确性，进行了Matlab仿真。本研究所得结论是全新的，对维持化学中二氧化氯、碘浓度的平衡具有巨大的理论价值。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Match-Communications in Mathematical and in Computer Chemistry 化学-化学综合

CiteScore

4.40

自引率

26.90%

发文量

审稿时长

2 months

期刊介绍： MATCH Communications in Mathematical and in Computer Chemistry publishes papers of original research as well as reviews on chemically important mathematical results and non-routine applications of mathematical techniques to chemical problems. A paper acceptable for publication must contain non-trivial mathematics or communicate non-routine computer-based procedures AND have a clear connection to chemistry. Papers are published without any processing or publication charge.