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使用梅森图表和变异代方法进行双剂量疫苗接种的COVID-19非线性隔间建模
Umer Ghani1, Bilal Ahmad1, Shahid Mahmood2
1Department of Mathematics, University of Wah (UOW), Wah Cantt, 47040, Pakistan.
Scientific reports
|January 6, 2026
概括
本研究介绍了COVID-19传播动态的数学模型,分析了疫苗接种的影响. 免疫率的提高有效地降低了感染率和新型冠状病毒的传播.
科学领域:
- 流行病学 流行病学
- 数学生物学 数学生物学
- 动态系统 动态系统
背景情况:
- COVID-19是一种具有重大全球健康影响的传染性疾病.
- 了解疾病传播动态和疫苗接种等干预措施的影响至关重要.
- 数学建模为分析流行病传播和控制策略提供了一个框架.
研究的目的:
- 为COVID-19传播动态提出一种新的非线性数学模型.
- 分析疫苗接种 (第一剂和第二剂) 对疾病传播的影响.
- 调查缓解策略及其有效性.
主要方法:
- 开发一个包含疫苗接种的分区模型 (易受感染者,隔离者,感染者,康复者,移除者).
- 利用梅森图表用于数学模型表示.
- 采用变量代方法 (一种半分析技术) 来解决模型方程.
- 进行了稳定性分析并确定了无疾病平衡点.
- 使用了用于分析解决方案的MAPLE软件.
主要成果:
- 该模型表明,免疫率的增加导致感染率的下降.
- 随着时间的推移,观察到未接种疫苗的人数有所下降,这可能是由于公众宣传活动.
- 发现随着免疫个体比例的增加,移除率下降.
- 该研究提供了关于疫苗接种覆盖率和疾病传播之间的关系的见解.
结论:
- 拟议的数学模型为了解COVID-19传播和疫苗接种的作用提供了有价值的工具.
- 研究结果表明,接种疫苗是缓解COVID-19传播的有效策略.
- 该研究强调了免疫计划在减少感染和移除率方面的重要性.
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