School of Statistics and Mathematics, Guangdong University of Finance and Economics, Big data and Educational Statistics Application Laboratory, Guangzhou, PR China.
School of Statistics and Mathematics, Guangdong University of Finance and Economics, Guangzhou, P. R. China.
Comput Methods Biomech Biomed Engin. 2022 Dec;25(16):1852-1869. doi: 10.1080/10255842.2022.2040489. Epub 2022 Mar 2.
We investigate the dynamical behavior of Coronavirus (COVID-19) for different infections phases and multiple routes of transmission. In this regard, we study a COVID-19 model in the context of fractal-fractional order operator. First, we study the COVID-19 dynamics with a fractal fractional-order operator in the framework of Atangana-Baleanu fractal-fractional operator. We estimated the basic reduction number and the stability results of the proposed model. We show the data fitting to the proposed model. The system has been investigated for qualitative analysis. Novel numerical methods are introduced for the derivation of an iterative scheme of the fractal-fractional Atangana-Baleanu order. Finally, numerical simulations are performed for various orders of fractal-fractional dimension.
我们研究了不同感染阶段和多种传播途径的冠状病毒（COVID-19）的动力学行为。在这方面，我们在分形分数阶算子的背景下研究了 COVID-19 模型。首先，我们在 Atangana-Baleanu 分形分数阶算子的框架内研究了具有分形分数阶算子的 COVID-19 动力学。我们估计了基本减少数和提出模型的稳定性结果。我们展示了对所提出模型的数据拟合。对系统进行了定性分析。为分形分数阶 Atangana-Baleanu 阶的迭代方案的推导引入了新的数值方法。最后，对不同阶数的分形分数维进行了数值模拟。
