吸烟者动态模型及其敏感性分析

IF 0.5 Q4 COMPUTER SCIENCE, INFORMATION SYSTEMS

Communications in Mathematical Biology and Neuroscience Pub Date : 2023-01-01 DOI:10.28919/cmbn/7947

Moch. Fandi Ansori, R. Herdiana

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引用次数: 0

摘要

．本文研究了一个吸烟动力学模型，该模型包含两类吸烟者:初吸烟者和重度吸烟者。研究了模型的定性行为，如平衡点的稳定性和基本再现数。我们展示了一些模拟来验证分析结果，例如不同时间尺度下的溶液动力学和不同初始条件下溶液的相画像。我们还对基本繁殖数进行了归一化敏感性分析，以发现哪些参数对吸烟传播的影响最大，并对参数进行了随时间的敏感性分析，以检查它们对种群动态的影响。

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Dynamic model of smokers and its sensitivity analysis

. We study a smoking dynamical model with two types of smokers: beginners and heavy smokers. The qualitative behavior of the model, such as the stability of the equilibrium points and the basic reproduction number, is investigated. We show some simulations to validate the analytical ﬁndings, such as solution dynamics at different time scales and phase portraits of solutions with varying initial conditions. We also present a normalized sensitivity analysis of the basic reproduction number to discover which parameter has the most impact on smoking transmission, and perform a time-dependent sensitivity analysis of parameters to examine their impact on population dynamics.

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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.