吸烟动态与媒体意识通过分数操作员研究来控制不良影响的流行
Muhammad Farman1,2,3, Cicik Alfiniyah4, Khadija Jamil5
1Faculty of Arts and Science, Department of Mathematics, Near East University, Nicosia, 99138, Cyprus.
这项研究引入了一个分数顺序的数学模型来理解复杂的吸烟行为,并结合了记忆效应. 该模型比传统方法更深入地了解成动态.
科学领域:
- 数学生物学 数学生物学
- 复杂系统建模 复杂系统建模
- 公共卫生研究 公共卫生研究
背景情况:
- 吸烟行为给全球健康带来了持续的挑战.
- 行为动态受到记忆和过去经历的重大影响.
- 经典模型可能无法完全捕捉成的细微差别.
研究的目的:
- 为吸烟行为制定和分析一个分数级数学模型.
- 为了使用Caputo衍生体结合记忆效应和非局部相互作用.
- 提高对吸烟动态的理解,并为公共卫生战略提供信息.
主要方法:
- 使用卡普托导数开发一个分数级数学模型.
- 严格的数学分析以确定模型的定位 (解决方案的存在和独特性).
- 对Hyers-Ulam-Rassias稳定性的研究,以评估系统的稳定性.
- 应用混沌控制技术来稳定系统.
- 实现一种基于牛顿多项式的新型数值方案,用于解决方案近似.
主要成果:
- 分数顺序模型成功地捕捉了吸烟行为的记忆效应和非局部相互作用.
- 该模型的解决方案已被证明存在并具有独特性.
- 希尔斯-乌拉姆-拉西亚斯稳定性分析证实了系统对扰动的弹性.
- 混沌控制技术有效地稳定了系统的可靠预测.
- 基于牛顿多项式的方案提供了高效和准确的解决方案近似.
结论:
- 与经典方法相比,分数顺序建模为吸烟动态提供了更好的洞察力.
- 开发的模型和数值方案为研究成提供了一个强大的框架.
- 这些发现可以有助于开发更有效的戒烟干预措施.
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