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Stability analysis of fractional nabla difference COVID-19 model

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

2021Results in Physics87 citationsDOIOpen Access PDF

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.

Topics & Concepts

Nabla symbolUniquenessCoronavirus disease 2019 (COVID-19)Stability (learning theory)Applied mathematicsMathematicsFractional calculusPandemicOperator (biology)Kernel (algebra)Pure mathematicsOrder (exchange)Calculus (dental)Infectious disease (medical specialty)Mathematical analysisComputer sciencePhysicsMedicineDiseaseEconomicsChemistryPathologyOmegaDentistryMachine learningRepressorTranscription factorQuantum mechanicsGeneBiochemistryFinanceFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisMathematical and Theoretical Epidemiology and Ecology Models
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