Finally, Flip bifurcation,chaos control strategy, and asymptotic stability of the only positive fixed point are verifiedwith the help of numerical simulations.
📌 3 Maddede Bu Makale
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Amaç & Hipotez:In this paper, a discrete-time prey-predator population model with immigration which is obtained by implementing forward Euler’s scheme has been considered.
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Temel Bulgular & Veri:The existence of fixed points of the presented model has been investigated.
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Sonuç & Katkı:Finally, Flip bifurcation,chaos control strategy, and asymptotic stability of the only positive fixed point are verifiedwith the help of numerical simulations.
🔬Tür:Modelleme & Sayısal Simülasyon
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:prey-predator model · stability analysis · Immigration
Abstract
In this paper, a discrete-time prey-predator population model with immigration which is obtained by implementing forward Euler’s scheme has been considered. The existence of fixed points of the presented model has been investigated. Moreover, the stability analysis of the fixed points of the population model has been examined and the topological classification of the fixed points of the model has been made. Moreover, the OGY feedback control method is to implement to controlchaos caused by the Flip bifurcation. Finally, Flip bifurcation,chaos control strategy, and asymptotic stability of the only positive fixed point are verifiedwith the help of numerical simulations.
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