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Modeling and simulation of fractional order COVID‐19 model with quarantined‐isolated people
Mathematical Methods in the Applied Sciences ( IF 2.9 ) Pub Date : 2021-01-17 , DOI: 10.1002/mma.7191
Muhammad Aslam 1 , Muhammad Farman 2 , Ali Akgül 3 , Meng Sun 1
Affiliation  

The dynamics of diseases and effectiveness of control policies play important role in the prevention of epidemic diseases. To this end, this paper is concerned with the design of fractional order coronavirus disease (COVID‐19) model with Caputo Fabrizio fractional derivative operator of order Ω ∈ (0, 1] for the COVID‐19. Verify the nonnegative special solution and convergence of the scheme with in the domain. Caputo‐Fabrizio technique apply with Sumudu transformation method is used to solve the fractional order COVID‐19 model. Fixed point theory and Picard Lindelof approach are used to provide the stability and uniqueness of the results. Numerical simulations conspicuously demonstrate that by applying the proposed fractional order model, governments could find useful and practical ways for control of the disease.

中文翻译:

带隔离人员的分数阶 COVID-19 模型的建模与仿真

疾病的动态和控制政策的有效性在预防流行病中发挥着重要作用。为此,本文关注用Ω ∈ (0, 1]阶的 Caputo Fabrizio 分数导数算子设计分数阶冠状病毒病 (COVID-19) 模型。对于 COVID-19。验证该方案在域中的非负特解和收敛性。Caputo-Fabrizio 技术与 Sumudu 变换方法一起用于求解分数阶 COVID-19 模型。不动点理论和 Picard Lindelof 方法用于提供结果的稳定性和唯一性。数值模拟清楚地表明,通过应用所提出的分数阶模型,政府可以找到控制疾病的有用和实用的方法。
更新日期:2021-01-17
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