Stability analysis of a non-singular fractional-order covid-19 model with nonlinear incidence and treatment rate
Küçük Resim Yok
Tarih
2023
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Iop Publishing Ltd
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, a non-singular SIR model with the Mittag-Leffler law is proposed. The nonlinear Beddington-DeAngelis infection rate and Holling type II treatment rate are used. The qualitative properties of the SIR model are discussed in detail. The local and global stability of the model are analyzed. Moreover, some conditions are developed to guarantee local and global asymptotic stability. Finally, numerical simulations are provided to support the theoretical results and used to analyze the impact of face masks, social distancing, quarantine, lockdown, immigration, treatment rate of the disease, and limitation in treatment resources on COVID-19. The graphical results show that face masks, social distancing, quarantine, lockdown, immigration, and effective treatment rates significantly reduce the infected population over time. In contrast, limitation in the availability of treatment raises the infected population.
Açıklama
Anahtar Kelimeler
Sir Model, Beddington-Deangelis Infection Rate, Holling Type-Ii Treatment Rate, Local And Global Stability, Mittag-Leffler Law
Kaynak
Physica Scripta
WoS Q Değeri
Scopus Q Değeri
Q2
Cilt
98
Sayı
4
