Numerical Approximation for the Spread of SIQR Model with Caputo Fractional Order Derivative

Authors : İlknur KOCA, Eyüp AKÇETİN, Pelin YAPRAKDAL

Pages : 124-139

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Publication Date : 2020-10-31

Article Type : Research Paper

Abstract :In our paper, the spread of SIQR model with fractional order differential equation is considered. We have evaluated the system with fractional way and investigated stability of the non-virus equilibrium point and virus equilibrium points. Also, the existence of the solutions are proved. Finally, the efficient numerical method for finding solutions of system is given. In our paper, the spread of SIQR model with fractional order differential equation is considered. We have evaluated the system with fractional way and investigated stability of the non-virus equilibrium point and virus equilibrium points. Also, the existence of the solutions are proved. Finally, the efficient numerical method for finding solutions of system is given.
Keywords : Fractional order differential equations, stability, Caputo derivative,