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Year 2019, Volume 40 , Issue 1, Pages 141 - 149 2019-03-22

Flip Bifurcation and Stability in a Discrete-Time Prey-Predator Model with Allee Effect
Kesik Zamanlı Allee Etkili bir Av-Avcı Modelinin Kararlılığı ve Flip Çatallanması

Figen KANGALGİL [1]

Abstract

In this paper, a discrete-time prey-predator model with Allee effect is considered. The dynamical behavior of the model is investigated. The existence and stability conditions of the coexistence fixed point of the model are analyzed. By using bifurcation theory, it is shown that the model undergoes flip bifurcation. Also, numerical simulations are presented to support the obtained theoretical results.

39A33, 37G35, 39A30.

Bu makalede, Allee etkili kesik zamanlı bir av-avcı modeli ele alındı. Modelin dinamik davranışları incelendi. Modelin her iki türün bir arada olduğu denge noktasının varlığı ve kararlılık şartları elde edildi. Çatallanma teorisi kullanılarak, modelin flip çatallanmaya gittiği gösterildi. Elde edilen teorik sonuçların doğruluğunu göstermek için nümerik gösterimlere yer verildi.

39A33, 37G35, 39A30.

Keywords

Flip Bifurcation; Stability, Discrete-Time Prey-Predator Model, Allee effect, Population Model

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Details

Primary Language tr
Subjects Basic Sciences
Journal Section Natural Sciences
Authors

Orcid: 0000-0003-0116-8553
Author: Figen KANGALGİL (Primary Author)
Institution: CUMHURİYET ÜNİVERSİTESİ, FEN FAKÜLTESİ
Country: Turkey
Dates

Application Date : January 8, 2019
Acceptance Date : February 19, 2019
Publication Date : March 22, 2019

Cite

APA Kangalgi̇l, F . (2019). Kesik Zamanlı Allee Etkili bir Av-Avcı Modelinin Kararlılığı ve Flip Çatallanması . Cumhuriyet Science Journal , 40 (1) , 141-149 . DOI: 10.17776/csj.509898
Authors of the Article
Figen KANGALGİL [1]
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