Stability analysis of an incommensurate fractional-order SIR model

Year 2021, Volume: 1 Issue: 1, 44 - 55, 30.09.2021

Bahatdin Daşbaşı

https://doi.org/10.53391/mmnsa.2021.01.005

Cited By: 15

Abstract

In this paper, a fractional-order generalization of the susceptible-infected-recovered (SIR) epidemic model for predicting the spread of an infectious disease is presented. Also, an incommensurate fractional-order differential equations system involving the Caputo meaning fractional derivative is used. The equilibria are calculated and their stability conditions are investigated. Finally, numerical simulations are presented to illustrate the obtained theoretical results.

Keywords

SIR mathematical model, incommensurate order differential equation, fractional-derivative, stability analysis

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