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https://hdl.handle.net/20.500.11851/6830| Title: | Hopf Bifurcation of a Ratio-Dependent Predator-Prey System With Time Delay | Authors: | Çelik, Canan | Keywords: | [No Keywords] | Publisher: | Pergamon-Elsevier Science Ltd | Abstract: | In this paper, we consider a ratio dependent predator-prey system with time delay where the dynamics is logistic with the carrying capacity proportional to prey population. By considering the time delay as bifurcation parameter, we analyze the stability and the Hopf bifurcation of the system based on the normal form approach and the center manifold theory. Finally, we illustrate our theoretical results by numerical simulations. (C) 2009 Elsevier Ltd. All rights reserved. | URI: | https://doi.org/10.1016/j.chaos.2009.03.071 https://hdl.handle.net/20.500.11851/6830 |
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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