Sensitivity Analysis of a Mathematical Fuzzy Epidemic Model for COVID-19

Document Type : Original Article

Authors

1 Technical and vocational university, Tehran, Iran

2 Department of mathematics, University of Zabol, Zabol, Iran

Abstract

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 model. The basic reproduction number of the epidemic model denoted by $\mathcal{R}_0$ 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 $\mathcal{R}_0$, 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.

Keywords



Articles in Press, Accepted Manuscript
Available Online from 26 March 2023
  • Receive Date: 27 September 2022
  • Revise Date: 11 February 2023
  • Accept Date: 26 March 2023