Period-doubling Bifurcation and Stability in a Two Dimensional Discrete Preypredator Model with Allee Effect and Immigration Parameter on Prey
Küçük Resim Yok
Tarih
2022
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
This article is about the dynamics of a discrete-time prey-predator system with Allee effect and immigration parameter on prey population. Particularly, we study existence and local asymptotic stability of the unique positive fixed point. Furthermore, the conditions for the existence of bifurcation in the system are derived. In addition, it is shown that the system goes through period-doubling bifurcation by using bifurcation theory and center manifold theorem. Eventually, numerical examples are given to illustrate theoretical results.
Açıklama
Anahtar Kelimeler
Kaynak
Cumhuriyet Science Journal
WoS Q Değeri
Scopus Q Değeri
Cilt
43
Sayı
1