Arfan Muhammad, Alrabaiah Hussam, Rahman Mati Ur, Sun Yu-Liang, Hashim Ahmad Sobri, Pansera Bruno A, Ahmadian Ali, Salahshour Soheil
Department of Mathematics, University of Malakand, Chakdara Dir (L), KPK, Pakistan.
Al Ain University, Al Ain, United Arab Emirates.
Results Phys. 2021 May;24:104046. doi: 10.1016/j.rinp.2021.104046. Epub 2021 Mar 22.
This manuscript addressing the dynamics of fractal-fractional type modified SEIR model under Atangana-Baleanu Caputo (ABC) derivative of fractional order and fractal dimension for the available data in Pakistan. The proposed model has been investigated for qualitative analysis by applying the theory of non-linear functional analysis along with fixed point theory. The fractional Adams-bashforth iterative techniques have been applied for the numerical solution of the said model. The Ulam-Hyers (UH) stability techniques have been derived for the stability of the considered model. The simulation of all compartments has been drawn against the available data of covid-19 in Pakistan. The whole study of this manuscript illustrates that control of the effective transmission rate is necessary for stoping the transmission of the outbreak. This means that everyone in the society must change their behavior towards self-protection by keeping most of the precautionary measures sufficient for controlling covid-19.
本手稿探讨了分数阶阿坦加纳 - 巴莱努·卡普托（ABC）导数和分形维数下的分形 - 分数型修正SEIR模型在巴基斯坦现有数据情况下的动态变化。通过应用非线性泛函分析理论和不动点理论对所提出的模型进行了定性分析。分数阶亚当斯 - 巴什福思迭代技术已应用于该模型的数值求解。已推导了乌里姆 - 赫尔斯（UH）稳定性技术以研究该模型的稳定性。针对巴基斯坦新冠肺炎的现有数据绘制了所有 compartments 的模拟图。本手稿的整个研究表明，控制有效传播率对于阻止疫情传播是必要的。这意味着社会中的每个人都必须改变其自我保护行为，采取足够的预防措施来控制新冠肺炎。
