Dynamics and stability results for novel coronavirus (2019-nCov) model via Caputo-Fabrizio fractional derivative

Abstract

Recently, many mathematical models have been studied to better understand the coronavirus infection. Most of these models are based on classical integer-order derivatives which cannot capture the fading memory and crossover behavior found in many biological phenomena. Therefore, the aim of this paper is to establish the existence and uniqueness of solutions to novel coronavirus (COVID-19) model including Caputo-Fabrizio (CF)-fractional derivative. We derive existence and uniqueness results with the help of properties of CF-fractional calculus, fixed-point theorem and iterative method. Finally, the model is proved to have a disease-free and an endemic equilibrium point.