Consistent Numerical Scheme and Unique Existence of the Solutions for Fractional COVID-19 Model

Abstract

This study discusses coronavirus disease) coronavirus with mathematical approaches. Coronavirus disease 2019 (COVID-19) is a pandemic breathing problem that spreads from person-to-others caused by a coronavirus and poses a serious public health risk. The goal of this research is to apply a modified susceptible, exposed, infectious, recovered (SEIQR) compartmental mathematical model to predict the COVID-19 epidemic dynamics model. Another research achievement is to define a modified SEIQR model of coronavirus disease 2019 (COVID-19) with fractional order using the Caputo derivative. We analyze the result as existence and uniqueness using fixed-point theory, global and local stability at DFE and EE, Reproductive number, and explore the GL-NSFD Scheme for the proposed model. Moreover, we evaluated positivity and boundedness in the GL-NSFD Scheme in general. Moreover, shows the behavior of the results from the fractional differential equation in different ways by plotting the figures at the bottom of the article, and then describes the final analysis of the model.

Keywords Contraction, Covid-19, Fractional derivative, Lipschitz condition, Numerical simulation