Analisis Model Matematika PLSQ Jumlah Perokok

St. Halija, F. Fardinah, Ahmad Ansar
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Abstract

Smoking is a habit that is favored by some people, but smoking causes health, economic, social and environmental burdens not only for smokers but also for others. This study aims to determine the mathematical model of the number of smokers, analysis of the equilibrium point of the PLSQ mathematical model of the number of smokers and a simulation of the mathematical model of the PLSQ of the number of smokers. In this study, the researcher assumed that the current smoker had a death rate caused by smoking and that the former smoker after he recovered, would not return to smoking. The results obtained are the PLSQ mathematical model of the number of smokers which produces 1 (one) smoke-free equilibrium point and 1 (one) smoker endemic point from the model. The stability analysis of the model was carried out using the Routh-Hurwitz Criteria to identify the characteristics of the eigenvalues. From the results of the stability analysis, it was found that the smoker-free equilibrium point E0 and the smokers endemic equilibrium point E1 were stable if the condition for the relationship between parameters were met. At the end of the study, a simulation model was given using the Maple application
数学PLSQ模型分析吸烟者的数量
吸烟是一些人喜欢的一种习惯,但吸烟不仅会给吸烟者带来健康、经济、社会和环境负担,也会给其他人带来负担。本研究旨在确定吸烟者人数的数学模型,分析吸烟者人数的PLSQ数学模型的平衡点,并对吸烟者人数的PLSQ数学模型进行仿真。在这项研究中,研究人员假设现在的吸烟者有吸烟引起的死亡率,而以前的吸烟者在康复后不会再吸烟。得到了吸烟者数量的PLSQ数学模型,该模型产生了1个无烟平衡点和1个吸烟者特有点。利用Routh-Hurwitz准则对模型进行稳定性分析,识别特征值的特征。从稳定性分析的结果来看,在满足参数关系的条件下,无吸烟者平衡点E0和吸烟者地方病平衡点E1是稳定的。在研究的最后,利用Maple应用程序给出了仿真模型
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