| 一类具时滞与捕获的捕食与被捕食模型的定性分析(Ⅰ) |
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| 引用本文： | 郭艳芬.一类具时滞与捕获的捕食与被捕食模型的定性分析(Ⅰ)[J].东北林业大学学报,2008,36(8). |
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| 作者姓名： | 郭艳芬 |
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| 作者单位： | 东北林业大学,哈尔滨,150040 |
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| 基金项目： | 东北林业大学青年科研基金 |
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| 摘 要： | 考查了一类具时滞与捕获的捕食与被捕食模型,通过相应的特征方程,对滞量的影响做了分析,得出了当滞量经过一序列值的时候,系统经历Hopf分支的结论。
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| 关 键 词： | 捕食与被捕食系统 时滞 Hopf分支 |
Qualitative Analysis of A Predator-Prey System with Infection of Prey Population |
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| Guo Yanfen.Qualitative Analysis of A Predator-Prey System with Infection of Prey Population[J].Journal of Northeast Forestry University,2008,36(8). |
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| Authors: | Guo Yanfen |
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| Abstract: | A predator-prey model with time delay and harvesting is studied.The effect of time delay on the predator-prey model is investigated by analyzing the corresponding characteristic equation.It is found that a Hopf bifurcation takes place when time delay reaches a sequence of certain values. |
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| Keywords: | Predator-prey system Time delay Hopf bifurcation |
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