Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11851/7679
Title: The stability and Hopf bifurcation for a predator-prey system with time delay
Authors: Çelik, Canan
Keywords: [No Keywords]
Issue Date: 2008
Publisher: Pergamon-Elsevier Science Ltd
Abstract: In this paper, we consider a predator-prey system with time delay where the predator dynamics is logistic with the carrying capacity proportional to prey population. We study the impact of the time delay on the stability of the model and by choosing the delay time tau as a bifurcation parameter, we show that Hopf bifurcation can occur as the delay time tau passes some critical values. Using normal form theory and central manifold argument, we also establish the direction and the stability of Hopf bifurcation. Finally, we perform numerical simulations to support our theoretical results. (C) 2007 Elsevier Ltd. All rights reserved.
URI: https://doi.org/10.1016/j.chaos.2007.10.045
https://hdl.handle.net/20.500.11851/7679
ISSN: 0960-0779
Appears in Collections:Matematik Bölümü / Department of Mathematics
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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