| 具有阶段结构及功能函数的时滞系统的Hopf分支 |
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| 引用本文： | 朱焕,李冬梅,许立滨.具有阶段结构及功能函数的时滞系统的Hopf分支[J].哈尔滨商业大学学报(自然科学版),2012(1):91-94. |
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| 作者姓名： | 朱焕 李冬梅 许立滨 |
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| 作者单位： | 哈尔滨理工大学应用科学学院;黑龙江八一农垦大学文理学院 |
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| 基金项目： | 黑龙江省自然基金资助项目(A200502) |
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| 摘 要： | 研究了一类具有阶段结构及时滞的HollingⅢ功能反应函数捕食系统,得到了系统正平衡点为局部稳定性的条件,并给出了Hopf分支存在性的充分条件,最后利用数值模拟验证了所得出的结论.
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| 关 键 词： | 阶段结构 时滞 功能反应 捕食系统 Hopf分支 |
Hopf bifurcation of a time delay system with a stage-structure and functional response |
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| ZHU Huan,LI Dong-mei,XU Li-bin.Hopf bifurcation of a time delay system with a stage-structure and functional response[J].Journal of Harbin University of Commerce :Natural Sciences Edition,2012(1):91-94. |
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| Authors: | ZHU Huan LI Dong-mei XU Li-bin |
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| Institution: | 1(1.School of Applied Science,Harbin University of Science and Technology,Harbin 150080,China; 2.School of Arts and Sciences,Heilongjiang Bayi Agriculture University,Daqing 163319,China) |
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| Abstract: | A stage-structured prey-predator system with time delay and Holling type Ⅲ functional response was investigated.Sufficient conditions were derived for the local stability of the positive equilibrium point and the existence of Hopf bifurcation.Numerical simulations were carried out to illustrate these conclusions. |
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| Keywords: | stage structure time delay functional response prey-predator system Hopf bifurcation |
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