Gecikmeli ve Allee Etkili Lineer Olmayan Ayrık-Zamanlı bir Popülasyon Modelinin Lokal Kararlılık Analizi

Bu çalışmada, genel lineer olmayan ayrık zamanlı gecikmeli bir popülasyon modeli, düşük popülasyon yoğunluğunda ortaya çıkan Allee etkisiyle ve Allee etkisiz olarak ele alınmıştır. Her iki modelin, denge noktasında lokal kararlılık şartları incelendik ve bu iki modelin lokal kararlılıklarını karşılaştırdık. Elde edilen tüm teorik sonuçlar nümerik simülasyonlar ile desteklenmiştir

The Local Stability Analysis of a Nonlinear Discrete-Time Population Model with Delay and Allee Effect

In this work, we present a delay general nonlinear discrete-time population model with and without Allee effects which occur at low population density. We investigated local stability conditions of equilibrium point of both models and we compared the local stability of the same equilibrium point of these two models. Obtained all theoretical results were supported by numerical simulations

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