Local Hopf bifurcation and global periodic solutions in a delayed predator–prey system

Yongli Song, Junjie Wei

Type: Article

Publication Date: 2004-09-24

Citations: 186

DOI: https://doi.org/10.1016/j.jmaa.2004.06.056

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Locations

Journal of Mathematical Analysis and Applications - View

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+	LOCAL AND GLOBAL HOPF BIFURCATION IN A DELAYED HEMATOPOIESIS MODEL	2004	Yongli Song Junjie Wei Maoan Han
+ PDF Chat	Dynamical analysis of a competition and cooperation system with multiple delays	2018	Xin Zhang Zizhen Zhang Matthew J. Wade
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+ PDF Chat	The Effect of Time Delay on Dynamical Behavior in an Ecoepidemiological Model	2012	Changjin Xu Yusen Wu
+ PDF Chat	On the Nature of Bifurcation in a Ratio-Dependent Predator-Prey Model with Delays	2013	Changjin Xu Yusen Wu
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+ PDF Chat	An algorithm for solving linear nonhomogeneous quaternion-valued differential equations and some open problems	2021	Yonghui Xia Hai Huang Kit Ian Kou
+ PDF Chat	Dynamics and Patterns of a Diffusive Prey-Predator System with a Group Defense for Prey	2018	Honglan Zhu Xuebing Zhang
+	Hopf bifurcations in a predator-prey system of population allelopathy with a discrete delay and a distributed delay	2012	Xinhui Wang Haihong Liu Chenglin Xu
+	Dynamics of a stochastic delayed chemostat model with nutrient storage and Lévy jumps	2022	Xingzhi Chen Xin Xu Baodan Tian Dong Li Dan Yang

Works Cited by This (23)

Action	Title	Year	Authors
+	Theory and applications of Hopf bifurcation	1981	Brian Hassard Nicholas D. Kazarinoff Yujie Wan
+	Delay differential equations with applications in population dynamics	1993	Yang Kuang
+	Introduction to Functional Differential Equations	1993	Jack K. Hale Sjoerd M. Verduyn Lunel
+	Stability and Delays in a Predator-Prey System	1996	Xue‐Zhong He
+	Periodic solutions of some nonlinear autonomous functional differential equations	1974	Roger D. Nussbaum
+	Periodic solutions of a nonlinear second order differential equation with delay	1979	Uwe an der Heiden
+ PDF Chat	A Hopf global bifurcation theorem for retarded functional differential equations	1978	Roger D. Nussbaum
+	LOCAL AND GLOBAL HOPF BIFURCATION IN A DELAYED HEMATOPOIESIS MODEL	2004	Yongli Song Junjie Wei Maoan Han
+	On the Existence and Global Bifurcation of Periodic Solutions to Planar Differential Delay Equations	1996	Margarete Z. Baptistini Plácido Táboas
+	Periodic solutions of autonomous equations	1978	Shui-Nee Chow Jack K. Hale