Stability analysis of fractional nabla difference COVID-19 model

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.

Automated summary

This article investigates the existence of results and stability analysis for a nabla discrete ABC-fractional order COVID-19 model, and provides an illustrative example for its application. The study finds that the nabla discrete ABC-fractional operator is more general and applicable in modeling dynamical problems, although certain conditions are needed to ensure the proofs of existence and uniqueness theorems, as well as Hyers-Ulam stability.