mmnsa Mathematical Modelling and Numerical Simulation with Applications 2791-8564 Mehmet YAVUZ 10.53391/mmnsa.2021.01.005 Bioinformatics and Computational Biology Applied Mathematics Biyoinformatik ve Hesaplamalı Biyoloji Uygulamalı Matematik Stability analysis of an incommensurate fractional-order SIR model https://orcid.org/0000-0001-8201-7495 Daşbaşı Bahatdin KAYSERI UNIVERSITY 09 30 2021 1 1 44 55 09 17 2021 09 29 2021 Copyright © 2021, Mathematical Modelling and Numerical Simulation with Applications 2021 Mathematical Modelling and Numerical Simulation with Applications

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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