| Lesile型时滞捕食系统的Hopf分支 |
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| 引用本文： | 刘启明,董士杰,甘勤涛.Lesile型时滞捕食系统的Hopf分支[J].河北科技大学学报,2006,27(2):107-109. |
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| 作者姓名： | 刘启明 董士杰 甘勤涛 |
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| 作者单位： | 军械工程学院基础部,河北石家庄,050003 |
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| 基金项目： | 国家自然科学基金资助项目(10471066) |
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| 摘 要： | 研究了自治的Lesile型具有时滞的2种群捕食系统正平衡点的稳定性,得到了稳定性对时滞长度的限制程度,讨论了该系统的Hopf分支现象,最后给出了一个例子进行验证。
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| 关 键 词： | 捕食系统 时滞 Hopf分支 |
| 文章编号： | 1008-1542(2006)02-0107-03 |
| 收稿时间： | 2004/8/30 0:00:00 |
| 修稿时间： | 2004年8月30日 |
Hopf bifurcation of Lesile type predator-prey system with time delay |
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| LIU Qi-ming,DONG Shi-jie and GAN Qin-tao.Hopf bifurcation of Lesile type predator-prey system with time delay[J].Journal of Hebei University of Science and Technology,2006,27(2):107-109. |
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| Authors: | LIU Qi-ming DONG Shi-jie and GAN Qin-tao |
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| Institution: | Department of Basic Courses,Ordnance Engineering College,Shijiazhuang Hebei 050003,China;Department of Basic Courses,Ordnance Engineering College,Shijiazhuang Hebei 050003,China;Department of Basic Courses,Ordnance Engineering College,Shijiazhuang Hebei 050003,China |
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| Abstract: | The local stability properties of Lesile type two species predator-prey system with time delay is researched.As stability will impose restrictions on the length of time delay,Hopf bifurcation of the system is investigated.Finally,a example supporting the theoretical analysis is given. |
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| Keywords: | predator-prey system time delay Hopf bifurcation |
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