疟疾和COVID-19联合感染动态的分数顺序数学模型
Adesoye Idowu Abioye1,2, Olumuyiwa James Peter3,4, Hammed Abiodun Ogunseye5
1Department of Mathematics, University of Ilorin, Ilorin, Kwara State, Nigeria.
Healthcare analytics (New York, N.Y.)
|June 26, 2023
概括
预防措施可以显著降低疟疾和COVID-19联合感染的风险. 这项研究将疾病组合成模型,表明干预措施可以导致疾病灭绝.
科学领域:
- 数学建模的数学建模
- 流行病学 流行病学
- 传染病的动态传染病的动态
背景情况:
- 疟疾和COVID-19的同时感染带来了复杂的公共卫生挑战.
- 了解这两种疾病之间的相互作用对于有效的控制策略至关重要.
研究的目的:
- 开发和分析疟疾和COVID-19联合感染的分数顺序数学模型.
- 确定模型解决方案的存在和独特性.
- 为了研究疾病动态和稳定性.
主要方法:
- 使用Atangana-Baleanu导数进行分数建模.
- 使用定点定理来进行定性分析.
- 计算了基本的复制数 (R0).
- 在平衡点进行全球稳定性分析.
- 在使用Maple软件进行的模拟中应用了两步拉格朗日插值方法.
主要成果:
- 分数顺序模型为共感染动态提供了洞察力.
- 定性分析证实了解决方案的存在和独特性.
- 模拟表明,预防措施可以减少同时感染的传播.
- 减少传播风险可以导致这两种疾病的灭绝.
结论:
- 分数顺序建模为研究传染病共感染提供了一个强大的框架.
- 预防策略在减轻疟疾和COVID-19联合感染的影响方面非常有效.
- 干预措施可以潜在地消除共同循环的疾病.
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