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

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

In this paper, a discrete-time prey-predator model with Allee effect is considered. The dynamicalbehavior of the model is investigated. The existence and stability conditions of the coexistence fixed point ofthe 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.

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