Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11851/1679
Title: Hopf Bifurcatıon Analysis For A Ratio-Dependent Predator-Prey System Involving Two Delays
Authors: Karaoğlu, E.
Merdan, Hüseyin
125872
Keywords: Hopf bifurcation
delay differential equation
time delay
stability
periodic solutions
population dynamics
Issue Date: Jan-2014
Publisher: Cambridge University Press
Source: Karaoglu, E., & Merdan, H. (2014). Hopf bifurcation analysis for a ratio-dependent predator–prey system involving two delays. The Anziam Journal, 55(3), 214-231.
Abstract: The aim of this paper is to give a detailed analysis of Hopf bifurcation of a ratio-dependent predator-prey system involving two discrete delays. A delay parameter is chosen as the bifurcation parameter for the analysis. Stability of the bifurcating periodic solutions is determined by using the centre manifold theorem and the normal form theory introduced by Hassard et al. Some of the bifurcation properties including the direction, stability and period are given. Finally, our theoretical results are supported by some numerical simulations.
URI: https://doi.org/10.1017/S1446181114000054
https://hdl.handle.net/20.500.11851/1679
ISSN: 1446-1811
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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