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分数阶nabla差分COVID-19模型的稳定性分析

Stability analysis of fractional nabla difference COVID-19 model.

作者信息

Khan Aziz, Alshehri Hashim M, Abdeljawad Thabet, Al-Mdallal Qasem M, Khan Hasib

机构信息

Department of Mathematics and General Sciences, Prince Sultan University, P.O. Box 66833, 11586 Riyadh, Saudi Arabia.

Mathematics Department, Faculty of Science, King Abdulaziz University, Jeddah 21521, Saudi Arabia.

出版信息

Results Phys. 2021 Mar;22:103888. doi: 10.1016/j.rinp.2021.103888. Epub 2021 Feb 4.

Abstract

Microorganisms lives with us in our environment, touching infectious material on the surfaces by hand-mouth which causes infectious diseases and some of these diseases are rapidly spreading from person to person. These days the world facing COVID-19 pandemic disease. This article concerned with existence of results and stability analysis for a nabla discrete ABC-fractional order COVID-19. The nabla discrete ABC-fractional operator as more general and applicable in modeling of dynamical problems due to its non-singular kernel. For the existence and uniqueness theorems and Hyers-Ulam stability, we need to suppose some conditions which will play important role in the proof of our main results. At the end, an expressive example is given to provide an application for the nabla discrete ABC-fractional order COVID-19 model.

摘要

微生物在我们的环境中与我们共生,通过手口接触表面的传染性物质从而引发传染病,其中一些疾病正在迅速在人与人之间传播。如今,世界正面临新冠疫情。本文关注一个nabla离散ABC分数阶新冠模型的结果存在性和稳定性分析。nabla离散ABC分数阶算子由于其非奇异核,在动力学问题建模中更具一般性和适用性。对于存在唯一性定理和赫尔斯-乌拉姆稳定性,我们需要假设一些条件,这些条件将在我们主要结果的证明中发挥重要作用。最后,给出一个有意义的例子,为nabla离散ABC分数阶新冠模型提供一个应用。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/17f8/7857994/11bc5757bfd2/gr1_lrg.jpg

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