| 具有比率依赖和年龄结构的捕食食饵系统的分支研究 |
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| 引用本文： | 乔梅红,刘安平.具有比率依赖和年龄结构的捕食食饵系统的分支研究[J].数学杂志,2017,37(5):956-968. |
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| 作者姓名： | 乔梅红 刘安平 |
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| 作者单位： | 中国地质大学(武汉)数理学院, 湖北武汉 430074;华中科技大学数学中心, 湖北武汉 430074,中国地质大学(武汉)数理学院, 湖北武汉 430074 |
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| 基金项目： | Supported by the Basic Research Program of Hubei Province(2014CFB898); NSFC (11571326; 11601496). |
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| 摘 要： | 本文研究了具有比率依赖的捕食食饵的分支问题.利用线性特征方程的方法，获得了方程解的稳定性结果，得到了Hopf分支的方向和稳定性的充分条件.
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| 关 键 词： | 时滞 捕食食饵模型 稳定性 Hopf分支 |
| 收稿时间： | 2014/7/26 0:00:00 |
| 修稿时间： | 2015/1/4 0:00:00 |
BIFURCATION IN A RATIO-DEPENDENT PREDATOR-PREY SYSTEM WITH STAGE-STRUCTURED IN THE PREY POPULATION |
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| QIAO Mei-hong and LIU An-ping.BIFURCATION IN A RATIO-DEPENDENT PREDATOR-PREY SYSTEM WITH STAGE-STRUCTURED IN THE PREY POPULATION[J].Journal of Mathematics,2017,37(5):956-968. |
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| Authors: | QIAO Mei-hong and LIU An-ping |
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| Institution: | School of Mathematics & Physics, China University of Geoscience, Wuhan 430074, China;Center for Mathematical Sciences, Huazhong University of Science and Technology, Wuhan 430074, China and School of Mathematics & Physics, China University of Geoscience, Wuhan 430074, China |
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| Abstract: | In this paper, we study the bifurcation of ratio-dependent predator-prey system. By using the characteristic equation of the linearized system and the center manifold theorem, we derive the stability of the system and direction of the Hopf bifurcation. |
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| Keywords: | time delay predator-prey model stability Hopf bifurcation |
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