期刊信息
- 刊名： 河北师范大学学报（自然科学版）Journal of Hebei Normal University (Natural Science)
- 主办： 河北师范大学
- ISSN： 1000-5854
- CN： 13-1061/N
- 中国科技核心期刊
- 中国期刊方阵入选期刊
- 中国高校优秀科技期刊
- 华北优秀期刊
- 河北省优秀科技期刊
一个离散捕食模型退化不动点的稳定性
-
1. 南京航空航天大学 理学院, 江苏 南京 211106;
2. 岭南师范学院 数学与统计学院, 广东 湛江 524048 -
DOI：10.13763/j.cnki.jhebnu.nse.2020.05.004
Stability of Degenerate Fixed Point for a Discrete Predator-prey Model
摘要/Abstract
摘要：
研究了一个具有Allee效应的离散捕食模型退化不动点的稳定性.首先计算模型的正规形，应用Picard迭代和Takens’s定理将正规形嵌入向量场的流.然后通过极坐标变换得到了向量场退化平衡点的稳定性.最后利用向量场与模型的近似关系得到退化不动点的稳定性.
Abstract：
In this paper, we study the stability of the degenerate fixed point for a discrete predator-prey model with Allee effect.Firstly,the normal form of the model is calculated,and the normal form is embedded into the flow of a vector field by using Picard iteration and Takens’s theorem.Then the stability of the degenerate equilibrium point of vector field is obtained by polar coordinate transformation.Finally,the stability of the degenerate fixed point is obtained by using the approximate relation between the vector field and the model.
关键词
Key words：
Allee effect
;
predator-prey model
;
degenerate fixed point
;
stability
参考文献 10
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