吸烟成瘾控制的数学模型：治疗、新闻和媒体活动的影响

IF 3.7 3区计算机科学 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Journal of Computational Science Pub Date : 2025-07-23 DOI:10.1016/j.jocs.2025.102677

Abu Safyan Ali , Muhammad Awais , Shumaila Javeed

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引用次数: 0

摘要

吸烟动态造成了一场具有重大社会经济影响的全球健康危机。它是世界几十年来遇到的最紧迫的问题之一，影响着全球的社会结构、经济和健康。充分的治疗方案，加上广播、印刷媒体和社交媒体作为信息来源的大量报道，可能会使人们更加意识到吸烟带来的风险，从而改变个人对吸烟动态的行为和态度。在这项研究中，我们提出了新的确定性模型来分析和控制吸烟动力学。该模型将总人口分为五个不同的亚种群。首先，我们对吸烟者进行治疗，然后是媒体对吸烟者的日常报道以及对吸烟者的适当治疗的影响，最后是电视，广播和所有社交媒体平台（SMP）广告和治疗对成瘾吸烟者的综合效果。对模型1的无病平衡（DFE）和地方性平衡（EEP）状态进行了定性表述，稳定性分析表明，当R 0 >；1时，无病平衡（DFE）和地方性平衡（EEP）的局部稳定性为0 >；1。利用Lyapunov函数和Castillo-Chavez定理进一步检验了稳态的全局稳定性。通过归一化敏感性指数和偏秩相关系数（PRCC）技术对模型进行敏感性分析。此外，数值模拟验证了确定性模型的理论预测。模拟结果表明，包括传统媒体和社交媒体在内的不同来源的有针对性的媒体报道，加上通过治疗提供的合格医疗保健，可能成功地降低吸烟发生率。通过宣传活动和广告口号，我们可以大大提高公众的认识，并最终鼓励戒烟。

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Mathematical modeling of smoking addiction control: Impact of treatment, news, and media campaigns

Smoking dynamics created a global health crisis with major socioeconomic repercussions. It presents one of the most pressing issues the world has encountered for decades, affecting the social fabric, economy, and health globally. Sufficient treatment plans paired with significant coverage on radio, in print media, and social media as information sources may cause people to become more aware of the risks caused by smoking due to which individuals change their behavior and attitude toward smoking dynamics. In this study, we propose novel deterministic models for analyzing and controlling smoking dynamics. The model classifies the total population into five distinct sub-populations. Initially, we implement treatment for smokers, then the impact of media coverage of smokers on a daily basis along with proper treatment of smokers applies, and last one is about the combined effectiveness of TV, Radio, and all social media platforms (SMP) advertisement and treatment to addicted smokers. The disease-free equilibrium (DFE) and endemic equilibrium (EEP) states of proposed model one are qualitatively formulated, with stability analyses indicating local stability of DFE when

R

₀

< 1

and of EEP when

R

₀

> 1

. Global stability of the steady states is further examined using the Lyapunov function and Castillo-Chavez theorems. Sensitivity analysis of models is evaluated through the Normalized Sensitivity Index and Partial Rank Correlation Coefficient (PRCC) techniques. Furthermore, numerical simulations are used to verify the theoretical predictions of the proposed deterministic models. The simulation results suggest that targeted media coverage across different sources, including conventional and social media, together with competent medical care by treatment, may successfully lower the incidence of smoking. Through the use of awareness campaigns and advertising slogans, we can greatly increase public knowledge and eventually encourage quitting smoking.

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来源期刊

Journal of Computational Science COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS-COMPUTER SCIENCE, THEORY & METHODS

CiteScore

5.50

自引率

3.00%

发文量

227

审稿时长

41 days

期刊介绍： Computational Science is a rapidly growing multi- and interdisciplinary field that uses advanced computing and data analysis to understand and solve complex problems. It has reached a level of predictive capability that now firmly complements the traditional pillars of experimentation and theory. The recent advances in experimental techniques such as detectors, on-line sensor networks and high-resolution imaging techniques, have opened up new windows into physical and biological processes at many levels of detail. The resulting data explosion allows for detailed data driven modeling and simulation. This new discipline in science combines computational thinking, modern computational methods, devices and collateral technologies to address problems far beyond the scope of traditional numerical methods. Computational science typically unifies three distinct elements: • Modeling, Algorithms and Simulations (e.g. numerical and non-numerical, discrete and continuous); • Software developed to solve science (e.g., biological, physical, and social), engineering, medicine, and humanities problems; • Computer and information science that develops and optimizes the advanced system hardware, software, networking, and data management components (e.g. problem solving environments).