Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11851/1678
Title: Hopf bifurcations of a ratio-dependent predator-prey model involving two discrete maturation time delays
Authors: Karaoğlu, Esra
Merdan, Hüseyin
125872
Keywords: Neural-Network Model
Differentıal Equations
Functional-Response
Stability
System
Issue Date: Nov-2014
Publisher: Elsevier Ltd
Source: Karaoglu, E., & Merdan, H. (2014). Hopf bifurcations of a ratio-dependent predator–prey model involving two discrete maturation time delays. Chaos, Solitons & Fractals, 68, 159-168.
Abstract: In this paper we give a detailed Hopf bifurcation analysis of a ratio-dependent predator prey system involving two different discrete delays. By analyzing the characteristic equation associated with the model, its linear stability is investigated. Choosing delay terms as bifurcation parameters the existence of Hopf bifurcations is demonstrated. Stability of the bifurcating periodic solutions is determined by using the center manifold theorem and the normal form theory introduced by Hassard et al. Furthermore, some of the bifurcation properties including direction, stability and period are given. Finally, theoretical results are supported by some numerical simulations. (C) 2014 Elsevier Ltd. All rights reserved.
URI: https://doi.org/10.1016/j.chaos.2014.07.011
https://hdl.handle.net/20.500.11851/1678
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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