Year 2017, Volume 38, Issue 3, Pages 480 - 487 2017-09-30

Gecikmeli ve Allee Etkili Lineer Olmayan Ayrık-Zamanlı bir Popülasyon Modelinin Lokal Kararlılık Analizi
The Local Stability Analysis of a Nonlinear Discrete-Time Population Model with Delay and Allee Effect

Figen KANGALGİL [1]

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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. 

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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Subjects Basic Sciences
Journal Section Articles
Authors

Author: Figen KANGALGİL

Bibtex @research article { csj340491, journal = {Cumhuriyet Science Journal}, issn = {2587-2680}, eissn = {2587-246X}, address = {Cumhuriyet University}, year = {2017}, volume = {38}, pages = {480 - 487}, doi = {10.17776/csj.340491}, title = {The Local Stability Analysis of a Nonlinear Discrete-Time Population Model with Delay and Allee Effect}, key = {cite}, author = {KANGALGİL, Figen} }
APA KANGALGİL, F . (2017). The Local Stability Analysis of a Nonlinear Discrete-Time Population Model with Delay and Allee Effect. Cumhuriyet Science Journal, 38 (3), 480-487. DOI: 10.17776/csj.340491
MLA KANGALGİL, F . "The Local Stability Analysis of a Nonlinear Discrete-Time Population Model with Delay and Allee Effect". Cumhuriyet Science Journal 38 (2017): 480-487 <http://dergipark.org.tr/csj/issue/31252/340491>
Chicago KANGALGİL, F . "The Local Stability Analysis of a Nonlinear Discrete-Time Population Model with Delay and Allee Effect". Cumhuriyet Science Journal 38 (2017): 480-487
RIS TY - JOUR T1 - The Local Stability Analysis of a Nonlinear Discrete-Time Population Model with Delay and Allee Effect AU - Figen KANGALGİL Y1 - 2017 PY - 2017 N1 - doi: 10.17776/csj.340491 DO - 10.17776/csj.340491 T2 - Cumhuriyet Science Journal JF - Journal JO - JOR SP - 480 EP - 487 VL - 38 IS - 3 SN - 2587-2680-2587-246X M3 - doi: 10.17776/csj.340491 UR - https://doi.org/10.17776/csj.340491 Y2 - 2017 ER -
EndNote %0 Cumhuriyet Science Journal The Local Stability Analysis of a Nonlinear Discrete-Time Population Model with Delay and Allee Effect %A Figen KANGALGİL %T The Local Stability Analysis of a Nonlinear Discrete-Time Population Model with Delay and Allee Effect %D 2017 %J Cumhuriyet Science Journal %P 2587-2680-2587-246X %V 38 %N 3 %R doi: 10.17776/csj.340491 %U 10.17776/csj.340491
ISNAD KANGALGİL, Figen . "The Local Stability Analysis of a Nonlinear Discrete-Time Population Model with Delay and Allee Effect". Cumhuriyet Science Journal 38 / 3 (September 2017): 480-487. https://doi.org/10.17776/csj.340491