一种新的技术来研究时间分数非线性吸烟流行病模型的解决方案
1Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, 632014, India.
Scientific reports
|February 20, 2024
概括
这项研究引入了一种新方法,即自然转化分解方法,用于为分数吸烟流行病模型找到分析解决方案. 这些发现证明了该方法的方法.
科学领域:
- 数学流行病学数学流行病学
- 分数微积分的微积分计算.
- 公共卫生建模公共卫生建模
背景情况:
- 吸烟是一个具有重大社会影响的全球健康问题.
- 数学模型对于理解吸烟动态和公共卫生影响至关重要.
- 分数计算为模拟复杂的流行病现象提供了先进的工具.
研究的目的:
- 通过使用一种新的技术,对分数吸烟流行病模型进行近似分析解决方案.
- 分析成年人口中吸毒和吸烟行为的动态.
- 通过敏感性分析来比较无疾病和特有病态.
主要方法:
- 应用自然转化分解方法的应用.
- 在Caputo,Caputo-Fabrizio和Atangana-Baleanu-Caputo意义上包括分数导数.
- 为各种吸烟状态 (潜在的,偶尔的,当前的,暂时的戒烟者,永久的戒烟者) 建模一个五部分系统.
主要成果:
- 自然转化分解方法提供了一个高效和有效的分析解决方案.
- 该研究成功地模拟了吸烟的动态及其对公共健康的影响.
- 敏感性分析区分了疾病持久性和根除场景.
结论:
- 自然转化分解方法是解决分数流行病模型的可行和有效技术.
- 开发的模型提供了关于吸烟行为动态和公共卫生干预措施的见解.
- 这项研究强调了分数计算在准确表示复杂的流行病学过程中的重要性.
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