Stability Analysis of an Incommensurate Fractional-Order SIR Model
Mathematical Modelling and Numerical Simulation with Applications, cilt.1, sa.1, ss.44-55, 2021 (Scopus, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 1 Sayı: 1
- Basım Tarihi: 2021
- Doi Numarası: 10.53391/mmnsa.2021.01.005
- Dergi Adı: Mathematical Modelling and Numerical Simulation with Applications
- Derginin Tarandığı İndeksler: Scopus, TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.44-55
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Kayseri Üniversitesi Adresli: Evet
Özet
In this paper, a fractional-order generalization of the susceptible-infected-recovered (SIR) epidemic model for predictingthe spread of an infectious disease is presented. Also, an incommensurate fractional-order differential equations systeminvolving the Caputo meaning fractional derivative is used. The equilibria are calculated and their stability conditions areinvestigated. Finally, numerical simulations are presented to illustrate the obtained theoretical results.