Sensitivity analysis of a mathematical fuzzy epidemic model for COVID-19

In this paper, an epidemic model with fuzzy parameters for spreading COVID-19 in a population is considered. The sensitivity analysis is used to determine the model robustness to parameter values of the model. The basic reproduction number of the epidemic model denoted by R_0 determines the dynamics of the model. Then, in order to examine the relative importance of different parameters in the COVID-19 spread, we derive an analytical expression for the sensitivity of the basic reproduction number R_0, namely sensitivity index, with respect to each parameter involved in the model. Finally,  sensitivity analysis results and the numerical simulations of the model are given with different parameter values.