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

Yıl 2017, Cilt: 38 Sayı: 3, 480 - 487, 30.09.2017

Figen Kangalgil

https://doi.org/10.17776/csj.340491

Cited By: 8

Öz

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.  

Anahtar Kelimeler

Local Stability Analysis, Allee effect, Equilibrium Point, Population Model

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

Öz

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. 

Anahtar Kelimeler

Lokal kararlılık Analizi, Allee Etkisi, Denge Noktası, Popülasyon Modeli

Kaynakça

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