在疫苗接种和治疗下评估尼帕感染的全球动态:一种新的计算建模方法
Fang Yu1, Muhammad Younas Khan2, Muhammad Bilal Riaz3,4
1School of Mathematics and Data Sciences, Changji University, Changji, Xinjiang, China.
PloS one
|January 14, 2025
概括
这项研究引入了一种新型的分数-分数模型来分析尼帕病毒 (NiV) 传播动态. 该研究使用先进的数学技术为更好的控制策略提供了对NiV爆发的见解.
科学领域:
- 数学生物学 数学生物学
- 流行病学 流行病学
- 分数微积分的计算.
背景情况:
- 复杂的生物系统,包括疾病动态,从碎形理论和微积分计算中受益.
- 尼帕病毒 (NiV) 构成了严重的公共卫生威胁,需要先进的建模方法来了解其传播.
研究的目的:
- 开发和分析一个新的对尼帕病毒 (NiV) 动态的分区模型,使用分数计算和分数理论.
- 调查拟议的分数模型的存在,独特性和稳定性.
主要方法:
- 使用卡普托类型的分数运算符和分数-分数运算符重建了一个九维非线性普通微分方程模型.
- 分析包括确定平衡点,Ulam-Hyers和Ulam-Hyers-Rassias稳定性,以及使用孟加拉国流行病学数据进行参数估计.
- 采用插值方法来开发用于模拟分数和分数-分数NiV模型的计算技术.
主要成果:
- 确定了分数模型解决方案的存在和独特性.
- 模型参数估计使用来自孟加拉国的临床流行病学数据.
- 模拟显示了分数和分数-分数NiV模型在各种分数和分数顺序中的稳定行为.
结论:
- 开发的分数和分数-分数模型为分析尼帕病毒传播动态提供了强大的框架.
- 这项研究强调了先进的计算方法在模拟和控制NiV爆发中的实用性.
- 这些发现可以为管理尼帕病毒流行病的公共卫生策略提供信息.
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