| LOCAL AND GLOBAL HOPF BIFURCATIONS FOR A PREDATOR-PREY SYSTEM WITH TWO DELAYS |
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| 引用本文： | Zhuang Kejun Li Xiangao Li Zunxian (School of Mathematical Sciences,South China Normal University,Guangzhou 510631). LOCAL AND GLOBAL HOPF BIFURCATIONS FOR A PREDATOR-PREY SYSTEM WITH TWO DELAYS[J]. Annals of Differential Equations, 2006, 0(3) |
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| 作者姓名： | Zhuang Kejun Li Xiangao Li Zunxian (School of Mathematical Sciences South China Normal University Guangzhou 510631) |
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| 作者单位： | School of Mathematical Sciences，South China Normal University，Guangzhou 510631 |
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| 基金项目： | This work is supported by the National Natural Sciences Foundation of China (No.10571064) the Natural Sciences Foundation of Guangdong Province(No.04010364). |
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| 摘 要： | In this paper, the Leslie predator-prey system with two delays is studied. The stability of the positive equilibrium is discussed by analyzing the associated characteristic transcendental equation. The direction and stability of the bifurcating periodic solutions are determined by applying the center manifold theorem and normal form theory. The conditions to guarantee the global existence of periodic solutions are given.
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LOCAL AND GLOBAL HOPF BIFURCATIONS FOR A PREDATOR-PREY SYSTEM WITH TWO DELAYS |
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| Zhuang Kejun Li Xiangao Li Zunxian. LOCAL AND GLOBAL HOPF BIFURCATIONS FOR A PREDATOR-PREY SYSTEM WITH TWO DELAYS[J]. 微分方程年刊(英文版), 2006, 0(3) |
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| Authors: | Zhuang Kejun Li Xiangao Li Zunxian |
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| Abstract: | In this paper, the Leslie predator-prey system with two delays is studied. The stability of the positive equilibrium is discussed by analyzing the associated characteristic transcendental equation. The direction and stability of the bifurcating periodic solutions are determined by applying the center manifold theorem and normal form theory. The conditions to guarantee the global existence of periodic solutions are given. |
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| Keywords: | Hopf bifurcation stability predator-prey system delay |
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