Aslam Muhammad, Farman Muhammad, Akgül Ali, Sun Meng
Key Laboratory and Natural Functional Molecule Chemistry of Ministry of Education, Department of Chemistry and Materials Science Northwest University Xi'an China.
Department of Mathematics and Statistics The University of Lahore Lahore Pakistan.
Math Methods Appl Sci. 2021 May 30;44(8):6389-6405. doi: 10.1002/mma.7191. Epub 2021 Jan 17.
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.
疾病动态和控制策略的有效性在预防流行病中起着重要作用。为此，本文关注具有阶数Ω∈(0, 1]的Caputo Fabrizio分数阶导数算子的分数阶冠状病毒病（COVID-19）模型的设计。验证该方案在定义域内的非负特解和收敛性。采用Caputo-Fabrizio技术结合Sumudu变换方法求解分数阶COVID-19模型。利用不动点理论和皮卡德-林德洛夫方法给出结果的稳定性和唯一性。数值模拟显著表明，通过应用所提出的分数阶模型，政府可以找到控制该疾病的有用且实用的方法。
