Farman Muhammad, Azeem Muhammad, Ahmad M O
Department of Mathematics and Statistics, The University of Lahore, Lahore, Pakistan.
AIMS Public Health. 2022 Feb 14;9(2):316-330. doi: 10.3934/publichealth.2022022. eCollection 2022.
In this paper, we develop a time-fractional order COVID-19 model with effects of disease during quarantine which consists of the system of fractional differential equations. Fractional order COVID-19 model is investigated with ABC technique using sumudu transform. Also, the deterministic mathematical model for the quarantine effect is investigated with different fractional parameters. The existence and uniqueness of the fractional-order model are derived using fixed point theory. The sumudu transform can keep the unity of the function, the parity of the function, and has many other properties that are more valuable. Solutions are derived to investigate the influence of fractional operator which shows the impact of the disease during quarantine on society.
在本文中，我们建立了一个具有隔离期间疾病影响的时间分数阶COVID-19模型，该模型由分数阶微分方程组组成。利用Sumudu变换，采用ABC技术研究了分数阶COVID-19模型。此外，还研究了具有不同分数参数的隔离效应确定性数学模型。利用不动点理论推导了分数阶模型的存在性和唯一性。Sumudu变换可以保持函数的统一性、函数的奇偶性，并且具有许多其他更有价值的性质。通过求解来研究分数阶算子的影响，该影响表明了隔离期间疾病对社会的影响。
