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| 摘要: |
| 本文研究了一类带有阶段结构和HollingIII型滞后函数响应的捕食食饵模型的稳定性和Hopf分支的问题.利用微分动力系统的标准型和中心流形定理,获得了内平衡点局部稳定和周期解的方向性,推广了文献[4]所得出的结论. |
| 关键词: 阶段结构 Hopf分支 稳定性 Holling III型 |
| DOI： |
| 分类号:O193 |
| 基金项目:Supported by National Natural Science Foundation of China (10671182). |
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| HOPF BIFURCATION OF A DELAYED PREDATOR-PREY MODEL WITH STAGE STRUCTURE FOR THE PREDATOR |
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KE Yu-sheng,LI Bi-wen,CHEN Bo-shan
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| Abstract: |
| This paper investigate the stability and Hopf bifurcation of a delayed predator-prey model with Holling type-III response function and stage-structure for the predator. By applying the norm form of differential dynamic system and the center manifold theorem, we determined the stability of the interior equilibrium the direction of the period solution. Obviously, the result of Tian and Xu is promoted in this paper. |
| Key words: stage structure Hopf bifurcation stability Holling type-III |
