Mathematical Modelling and Numerical Simulation with Applications

Mathematical Modelling and Numerical Simulation with Applications

Stability analysis of an incommensurate fractional-order SIR model

Yazarlar: Bahatdin Daşbaşı

Cilt 1 , Sayı 1 , 2021 , Sayfalar 44-55

Konular:-

DOI:10.53391/mmnsa.2021.01.005

Anahtar Kelimeler:SIR mathematical model,Incommensurate order differential equation,Fractional,Erivative,Stability analysis

Özet: 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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BibTex
KOPYALA
@article{2021, title={Stability analysis of an incommensurate fractional-order SIR model}, volume={1}, number={44–55}, publisher={Mathematical Modelling and Numerical Simulation with Applications}, author={Bahatdin Daşbaşı}, year={2021} }
APA
KOPYALA
Bahatdin Daşbaşı. (2021). Stability analysis of an incommensurate fractional-order SIR model (Vol. 1). Vol. 1. Mathematical Modelling and Numerical Simulation with Applications.
MLA
KOPYALA
Bahatdin Daşbaşı. Stability Analysis of an Incommensurate Fractional-Order SIR Model. no. 44–55, Mathematical Modelling and Numerical Simulation with Applications, 2021.