arXiv 2111.010312021-11-01math.DSq-bio.PE

分数阶COVID-19模型的混合仿真方法及实例应用

Hybrid Method for Simulation of a Fractional COVID-19 Model with Real Case Application

Anwarud Din, Amir Khan, Anwar Zeb, Moulay Rchid Sidi Ammi, Mouhcine Tilioua, Delfim F. M. Torres

备注：: Final form is published Open Access in 'Axioms' [https://doi.org/10.3390/axioms10040290]. Submitted 1-Aug-2021; Revised 27-Aug and 22-Sept-2021; Accepted 28-Oct-2021; Published 1-Nov-2021. Citation: A. Din, A. Khan, A. Zeb, M.R. Sidi Ammi, M. Tilioua and D.F.M. Torres, Hybrid method for simulation of a fractional COVID-19 model with real case application, Axioms 10 (2021), no. 4, Art. 290, 17pp
发表信息：: Axioms 10 (2021), no. 4, Art. 290, 17 pp
DOI：: 10.3390/axioms10040290

摘要：

在这项研究中，我们对导致COVID-19的新型冠状病毒进行了数学分析，COVID-19仍然是人类的一大威胁来源。我们的分数阶分析进行了使用非奇异内核类型的操作称为Atangana-Baleanu-Caputo（ABC）衍生物。我们采用2020年4月9日至6月2日期间巴基斯坦疾病的可用信息对模型进行参数化。我们得到所需的解决方案的帮助下，一个混合的方法，这是一个组合的分解方法和拉普拉斯变换。此外，进行了灵敏度分析，以评估对模型的基本再生数更敏感的参数。我们的结果与巴基斯坦的真实数据进行了比较，并在不同的分数阶数值图。

英文摘要：

In this research, we provide a mathematical analysis for the novel coronavirus responsible for COVID-19, which continues to be a big source of threat for humanity. Our fractional-order analysis is carried out using a non-singular kernel type operator known as the Atangana--Baleanu--Caputo (ABC) derivative. We parametrize the model adopting available information of the disease from Pakistan in the period 9th April to 2nd June 2020. We obtain the required solution with the help of a hybrid method, which is a combination of the decomposition method and the Laplace transform. Furthermore, a sensitivity analysis is carried out to evaluate the parameters that are more sensitive to the basic reproduction number of the model. Our results are compared with the real data of Pakistan and numerical plots are presented at various fractional orders.

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摘要：

英文摘要：

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