# Stability analysis of an incommensurate fractional-order SIR model

## Authors

• Bahatdin Daşbaşı Kayseri University, Faculty of Engineering, Architecture and Design, Department of Engineering Basic Sciences, 38039, Kayseri, Turkey https://orcid.org/0000-0001-8201-7495

## Keywords:

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

## 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.

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2021-09-30

## How to Cite

Daşbaşı, B. (2021). Stability analysis of an incommensurate fractional-order SIR model. Mathematical Modelling and Numerical Simulation With Applications, 1(1), 44–55. https://doi.org/10.53391/mmnsa.2021.01.005

## Section

Research Articles  