On dynamics of an SIQR model as a system of fractional differential equations

The main purpose of this paper is to develop and analyse a fractional SIQR epidemic model with Caputo-Fabrizio derivative. It is shown that the model to have a disease-free and an endemic equilibrium point. Some conditions are derived for the existence and stability of these equilibrium points. Finally, three-step fractional Adams- Bashforth method applied to the model and some numerical simulations are illustrate the results.