| 一类时滞捕食-食饵模型的稳定性与Hopf分支 |
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| 引用本文： | 郭艳芬,李莉.一类时滞捕食-食饵模型的稳定性与Hopf分支[J].吉林师范大学学报（自然科学版）,2012(1):41-44. |
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| 作者姓名： | 郭艳芬 李莉 |
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| 作者单位： | 北京工业职业技术学院;哈尔滨工业大学 |
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| 基金项目： | 2010中国博士后科研基金资助项目(20100471043) |
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| 摘 要： | 讨论一类时滞捕食-食饵模型,通过相应的特征方程及特征根的分布,分析滞量的影响,给出该模型的稳定性及Hopf分支存在条件.
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| 关 键 词： | 时滞 捕食-食饵 Hopf分支 |
Stability Analysis and Hopf Bifurcation of a Predator-prey Model with Time Delay |
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| GUO Yan-fen,LI Li.Stability Analysis and Hopf Bifurcation of a Predator-prey Model with Time Delay[J].Jilin Normal University Journal(Natural Science Edition),2012(1):41-44. |
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| Authors: | GUO Yan-fen LI Li |
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| Institution: | 1.Beijing Polytechnic College,Beijing 100042,China;2.Harb in Institute of Technology,Harbin 150001,China) |
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| Abstract: | In this paper,Hopf bifurcation of a predator-prey mode with time delay and harvesting is investigated.The effect of time delay is analysed by the cor responding characteristic equations.It is found that a Hopf bifurcation takes p lace when time delay passes a sequence of certain values. |
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| Keywords: | Time Delay Hopf bifurcation Predator-prey system |
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