Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11851/6219
Title: Allee effect in a discrete-time predator-prey system
Authors: Çelik, Canan
Duman, Oktay
Keywords: [No Keywords]
Issue Date: 2009
Publisher: Pergamon-Elsevier Science Ltd
Abstract: In this paper, we study the stability of a discrete-time predator-prey system with and without Allee effect. By analyzing both systems, we first obtain local stability conditions of the equilibrium points without the Allee effect and then exhibit the impact of the Allee effect on stability when it is imposed on prey population. We also show the stabilizing effect of Allee effect by numerical simulations and verify that when the prey population is subject to an Allee effect, the trajectory of the solutions approximates to the corresponding equilibrium point much faster. Furthermore, for some fixed parameter values satisfying necessary conditions, we show that the corresponding equilibrium point moves from instability to stability under the Allee effect on prey population. (C) 2007 Elsevier Ltd. All rights reserved.
URI: https://doi.org/10.1016/j.chaos.2007.09.077
https://hdl.handle.net/20.500.11851/6219
ISSN: 0960-0779
1873-2887
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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