Analysis of a fractional SIQR model with Caputo-Fabrizio derivative

Document Type : Research Articles

Author

Department of Mathematical Science, Yazd University, Yazd, Iran

Abstract

‎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.

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