一类单种群模型的全局稳定性

魏福义; 曾文才

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一类单种群模型的全局稳定性

更新时间：2026-09-14

- 一类单种群模型的全局稳定性
- 一类单种群模型的全局稳定性
- Issue 2, (2006)
- 作者机构：
  
  华南农业大学理学院
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2006
- 稿件说明：
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魏福义, 曾文才. 一类单种群模型的全局稳定性[J]. 2006, (2).
DOI：

魏福义, 曾文才. 一类单种群模型的全局稳定性[J]. 2006, (2). DOI：

摘要

用种群动力学的方法对单种群数学模型N=。N d(q+pN+N3)(其中p

d为实数且d0)进行了研究

得到了该模型的稳定性条件

给出了相应条件下的平衡点和吸引域.该结论可以推广到单种群数学模型N=。N d(a+bN+cN2+N3)之中.

Abstract

By employing species-kinetics approach

the authors have made a research on the model for a single-species system: =Nd(q+pN+N

)(where p

d serve as real number and d0).The authors have also identified the conditions for the stability of the model

and presented the balance point and attracting region under the above conditions.These bionomics characters can be promoted to the application of the mathematic model for single-species: =Nd(a+bN+cN~2+N

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