在模糊环境中对伤寒病模型进行数值调查
Fazal Dayan1, Nauman Ahmed2,3,4, Ali Hasan Ali5,6
1Department of Mathematics, School of Science, University of Management and Technology, Lahore, Pakistan.
Scientific reports
|December 11, 2023
概括
这项研究引入了一种新的数值方法来建模伤寒,利用模糊参数计算个人变异. 这种方法提供了一种可靠的方式来了解疾病动态和改善公共卫生战略.
科学领域:
- 数学建模的数学建模
- 传染病的动态传染病的动态.
- 计算生物学 计算生物学
背景情况:
- 由沙门氏菌Typhi引起的伤寒热是全球重要的健康问题,每年影响数百万人,死亡率高.
- 现有的模型往往难以捕捉疾病参数中的人口层面的不确定性,因为免疫力和行为的个体变化.
- 模糊理论为在流行病学模型中处理这种不确定性提供了一个强大的框架.
研究的目的:
- 开发和分析一种新的数值分析策略,用于模拟伤寒.
- 纳入模糊参数,以考虑疾病模型中的个体变化和不确定性.
- 评估拟议的数值技术的实际适用性和可靠性.
主要方法:
- 为伤寒发烧开发了一个数学模型,其中包含了模糊的参数来表示人口异质性.
- 两个数值技术,包括非标准的有限差异 (NSFD) 方案,在模糊的框架内实施.
- 进行了数值模拟以验证模型和拟议的方法,重点关注动态一致性和积极性保护.
主要成果:
- 开发的基于模糊的数值方法证明了无条件的融合,优于经典方法.
- 非标准的有限差异 (NSFD) 方案成功地保留了模型的基本动态特性.
- 模拟证实了提议的策略对伤寒热病动态的实际适用性和稳定性.
结论:
- 基于模糊参数的数值策略为研究伤寒热提供了可靠和准确的工具.
- 这种方法通过有效地管理参数不确定性,提高了我们对传染病动态的理解.
- 这些发现支持在公共卫生研究中使用先进的数值技术,以更好地控制和预防疾病.
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