Period-doubling Bifurcation and Stability in a Two Dimensional Discrete Preypredator Model with Allee Effect and Immigration Parameter on Prey

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Tarih

2022

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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.

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Kaynak

Cumhuriyet Science Journal

WoS Q Değeri

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Cilt

43

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1

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