Mathematical analysis of local and global dynamics of a new epidemic model
Küçük Resim Yok
Tarih
2022
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
TUBITAK
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, we construct a new SEIR epidemic model reflecting the spread of infectious diseases. After calculating basic reproduction number R0 by the next generation matrix method, we examine the stability of the model. The model exhibits threshold behavior according to whether the basic reproduction number R0 is greater than unity or not. By using well-known Routh-Hurwitz criteria, we deal with local asymptotic stability of equilibrium points of the model according to R0. Also, we present a mathematical analysis for the global dynamics in the equilibrium points of this model using LaSalle’s Invariance Principle associated with Lyapunov functional technique and Li-Muldowney geometric approach, respectively. © This work is licensed under a Creative Commons Attribution 4.0 International License.
Açıklama
Anahtar Kelimeler
Basic reproduction number, Jacobian matrix, Lasalle’s invariance principle, Li-muldowney geometric approach, Lyapunov function, Next generation matrix method, Routh-hurwitz criteria, The second additive compound matrix
Kaynak
Turkish Journal of Mathematics
WoS Q Değeri
Scopus Q Değeri
Q2
Cilt
46
Sayı
Special Issue
