Investigation of a mathematical fuzzy epidemic model for the spread of corona-virus in a population

Document Type : Original Article

Authors

1 Department of Mathematics, Faculty of Science, University of Zabol, Zabol, Iran

2 Department of Mathematics, Faculty of Science, Technical and vocational University, Tehran, Iran

Abstract

In this paper, an epidemic model with fuzzy parameters for COVID-19 is presented. This model is made according to vaccination, treatment, implementation of health protocols and the corona virus load. Fuzzy parameters for transmission rate, recovery rate and mortality rate in this disease have been used. Also, in model analysis, we have used the generation matrix method to calculate the basic reproduction number and the equilibrium stability of the model. Simulation of the results shows that different mutations in the corona virus cause differences in its propagation. In addition, vaccination and practices in the implementation of health protocols are significantly effective in reducing or stopping the spread of coronavirus in a population.

Keywords


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