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一类具时滞与捕获的捕食与被捕食模型的定性分析(Ⅰ) 被引量：3

Qualitative Analysis of A Predator-Prey System with Infection of Prey Population
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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。 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.
作者 郭艳芬
机构地区 东北林业大学
出处 《东北林业大学学报》 CAS CSCD 北大核心 2008年第8期81-83,共3页 Journal of Northeast Forestry University
基金 东北林业大学青年科研基金资助项目
关键词 捕食与被捕食系统 时滞 HOPF分支 Predator-prey system Time delay Hopf bifurcation
分类号 Q141 [生物学—生态学]
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参考文献7

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二级参考文献17

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共引文献30

同被引文献9

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  • 9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(Ⅱ)[J].东北林业大学学报,2009,37(4):81-82. 被引量：3

引证文献3

二级引证文献3

东北林业大学学报
2008年 第8期

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