Paul Subrata, Mahata Animesh, Mukherjee Supriya, Roy Banamali
Department of Mathematics, Arambagh Government Polytechnic, Arambagh, West Bengal, India.
Mahadevnagar High School, Maheshtala, Kolkata 700141, West Bengal, India.
Partial Differ Equ Appl Math. 2022 Jun;5:100216. doi: 10.1016/j.padiff.2021.100216. Epub 2021 Dec 16.
The dynamics of COVID-19 (Coronavirus Disease-2019) transmission are described using a fractional order SIQR model. The stability analysis of the model is performed. To obtain semi-analytic solutions to the model, the Iterative Laplace Transform Method [ILTM] is implemented. Real-time data from COVID-19 cases in India and Brazil is employed to estimate the parameters of the fractional order SIQR model. Numerical solutions obtained using Adam-Bashforth-Moultonpredictor-corrector technique is compared with those obtained by ILTM. It is observed that the fractional order of the derivatives is more effective in studying the dynamics of the spread of COVID-19 in comparison to integral order of the model.
使用分数阶SIQR模型描述了2019冠状病毒病（COVID-19）的传播动态。对该模型进行了稳定性分析。为了获得该模型的半解析解，采用了迭代拉普拉斯变换方法（ILTM）。利用印度和巴西COVID-19病例的实时数据来估计分数阶SIQR模型的参数。将使用亚当-巴什福思-莫尔顿预测-校正技术获得的数值解与通过ILTM获得的数值解进行比较。可以观察到，与模型的整数阶相比，导数的分数阶在研究COVID-19传播动态方面更有效。
