有n例并发症的饮酒的建模、数学和分析

IF 0.8 Q4 COMPUTER SCIENCE, INFORMATION SYSTEMS

Communications in Mathematical Biology and Neuroscience Pub Date : 2023-01-01 DOI:10.28919/cmbn/7918

Abdelhak Essounaini, B. Khajji, Soukaina Hilal, Mostafa HASSAN LAARABI

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引用次数: 0

摘要

．在这篇文章中，我们提出了一种新的连续数学方法来建模和分析重度饮酒者及其健康并发症的动态。该模型有几个隔间，包括一个新的隔间，它代表了与过量饮酒相关的不同并发症的酗酒者的数量。我们利用局部稳定性的Routh-Hurwitz准则等数学理论来研究模型的稳定性，以便研究不过量饮酒和过量饮酒时的平衡，而Lyapunov函数的构造使研究全局稳定性成为可能。进行敏感性分析以确定哪些参数对复制品R0的数量有最显著的影响。在MATLAB下进行了数值模拟，验证了结果的正确性。这一模式可能有助于指导旨在减少饮酒者数量和与酒精消费有关的并发症的公共卫生政策。

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Modeling mathematical and analysis of an alcohol drinking with n complications

. In this article, we propose a new continuous mathematical approach to model and analyze the dynamics of the population of heavy drinkers and their health complications. The model has several compartments, including a new one that represents the number of heavy drinkers with different complications associated with excessive alcohol consumption. We study the stability of the model using mathematical theories such as the Routh-Hurwitz criteria for local stability, in order to study the equilibrium without and with excessive alcohol consumption, and the construction of Lyapunov functions makes it possible to study global stability. A sensitivity analysis is performed to determine which parameters have the most signiﬁcant impact on the number of reproductions R0. The results were validated using numerical simulations carried out under MATLAB. This model may be useful in guiding public health policies aimed at reducing the number of drinkers and the complications associated with alcohol consumption.

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来源期刊

Communications in Mathematical Biology and Neuroscience COMPUTER SCIENCE, INFORMATION SYSTEMS-

CiteScore

2.10

自引率

15.40%

发文量

期刊介绍： Communications in Mathematical Biology and Neuroscience (CMBN) is a peer-reviewed open access international journal, which is aimed to provide a publication forum for important research in all aspects of mathematical biology and neuroscience. This journal will accept high quality articles containing original research results and survey articles of exceptional merit.