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| 摘要: |
| 本文运用线性全连续场的谱理论及跃迁理论讨论了一类食饵-捕食生物模型的动态分歧,在一定条件下得到了跃迁类型的判据,并判断了跃迁的类型,同时也给出了分歧解的表达式,最后对获得的结果做了必要的解释. |
| 关键词: 食饵-捕食生物模型 中心流形定理 谱理论 跃迁 动态分歧 |
| DOI： |
| 分类号:0175.2 |
| 基金项目:四川省教育厅青年基金资助(12ZB108). |
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| DYNAMIC BIFURCATION OF A CLASS OF PREDATOR-PREY BIOLOGICAL MODEL |
|
LI Jun-yan,LI Li-mei
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| Abstract: |
| In this paper, we disscuss the dynamic bifurcation of a class of predator-prey biological model. By using the spectrum theory of the linear completely continuous fields and transition theory, the distinguished number of transition is judged under certain conditions. At the same time, the expression bifurcation solution is given and necessary justification is also made for the results obtained. |
| Key words: predator-prey biological model center manifold spectrum theory transition theory dynamic bifurcation |
