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

#### Figen KANGALGİL [1]

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.

Flip Bifurcation; Stability, Discrete-Time Prey-Predator Model, Allee effect, Population Model
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Primary Language tr Basic Sciences Natural Sciences Orcid: 0000-0003-0116-8553Author: Figen KANGALGİL (Primary Author)Institution: CUMHURİYET ÜNİVERSİTESİ, FEN FAKÜLTESİCountry: Turkey Application Date : January 8, 2019 Acceptance Date : February 19, 2019 Publication Date : March 22, 2019
 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

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