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

Year 2020, Volume: 5 Issue: 2, 124 - 139, 31.10.2020

İlknur Koca , Eyüp Akçetin , Pelin Yaprakdal

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,

References

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