Kesik Zamanlı Allee Etkili bir Av-Avcı Modelinin Kararlılığı ve Flip Çatallanması

Year 2019, Volume: 40 Issue: 1, 141 - 149, 22.03.2019

Figen Kangalgil

https://doi.org/10.17776/csj.509898

Cited By: 4

Abstract

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 and Stability in a Discrete-Time Prey-Predator Model with Allee Effect

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.

Keywords

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

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