A mathematical model for the dynamics of SARS-CoV-2 virus using the Caputo-Fabrizio operator (Q2092073)

This paper presents a mathematical model for the dynamics of SARS-CoV-2 virus using the Caputo-Fabrizio operator. It formulates the fractional-order epidemiological model by dividing the total population into various population groups of susceptible, asymptomatic, symptomatic, and recovered population. It is shown that the solution of the proposed fractional-order epidemiological model exists and unique using the fixed point theory. It is shown that positivity and boundedness make the problem biologically feasible. The basic reproduction number is derived and the sensitivity analysis has been done to find the role of the epidemic parameter in the spreading of disease. The ordinary least square method is used to parameterize the model and the paper estimates the value of model parameters from the real data of SARS-CoV-2 virus reported in Oman.