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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. |
| 关键词: 时滞 捕食食饵模型 稳定性 Hopf分支 |
| DOI： |
| 分类号:O175.13 |
| 基金项目:Supported by the Basic Research Program of Hubei Province(2014CFB898); NSFC (11571326; 11601496). |
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| BIFURCATION IN A RATIO-DEPENDENT PREDATOR-PREY SYSTEM WITH STAGE-STRUCTURED IN THE PREY POPULATION |
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QIAO Mei-hong,LIU An-ping
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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. |
| Key words: time delay predator-prey model stability Hopf bifurcation |
