| 第Ⅳ类时滞捕食系统的Hopf分支 |
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| 引用本文： | 刘建芳,陈东青,冯光辉.第Ⅳ类时滞捕食系统的Hopf分支[J].军械工程学院学报,2008,20(2):76-78. |
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| 作者姓名： | 刘建芳 陈东青 冯光辉 |
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| 作者单位： | 刘建芳（军械工程学院基础部,河北,石家庄,050003）;陈东青（军械工程学院基础部,河北,石家庄,050003）;冯光辉（军械工程学院基础部,河北,石家庄,050003） |
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| 摘 要： | 研究了具有第Ⅳ类功能性反应的两种群时滞捕食系统正平衡点的稳定性，讨论了该系统的Hopf分支现象，并进行了数值模拟。
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| 关 键 词： | 捕食系统 时滞 稳定性 Hopf分支 |
| 文章编号： | 1008-2956(2008)02-0076-03 |
| 修稿时间： | 2008年1月25日 |
Hopf Bifurcation of a Predator-prey Model with Type-Ⅳ Functional Response and Time Delay |
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| LIU Jian-fang,CHEN Dong-qing,FENG Guang-hui.Hopf Bifurcation of a Predator-prey Model with Type-Ⅳ Functional Response and Time Delay[J].Journal of Ordnance Engineering College,2008,20(2):76-78. |
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| Authors: | LIU Jian-fang CHEN Dong-qing FENG Guang-hui |
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| Institution: | ( Department of Basic Courses, Ordnance Engineering College, Shijiazhuang 050003, China) |
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| Abstract: | A two-species predator-prey model with type-IV functional response and time delay is investigated. The conditions are obtained for the stability of the system. The existence of Hopf bifurcations is discussed. Numerical simulations are carried out to illustrate the theoretical results. |
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| Keywords: | predator-prey system time delay stability Hopf bifurcation |
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