[1]唐晓伟.基于首次积分和向量场的二维Lotka-Volterra系统的稳定性[J].延边大学学报(自然科学版),2015,41(03):203-206.
　TANG Xiaowei.Stability of a two-dimensional Lotka-Volterra system with first integral and vector field[J].Journal of Yanbian University,2015,41(03):203-206.
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基于首次积分和向量场的二维Lotka-Volterra系统的稳定性

《延边大学学报(自然科学版)》[ISSN:1004-4353/CN:22-1191/N] 卷: 第41卷 期数: 2015年03期 页码: 203-206 栏目: 基础科学研究 出版日期: 2015-07-30
Title:
Stability of a two-dimensional Lotka-Volterra system with first integral and vector field
作者:
唐晓伟1; 2
1.齐鲁师范学院 数学学院, 山东 济南 250200; 2.山东师范大学 数学科学学院, 山东 济南 250014
Author(s):
TANG Xiaowei1; 2
1.Mathematical School, Qilu Normal University, Jinan 250200, China; 2.School of Mathematical Science, Shandong Normal University, Jinan 250014, China
关键词:
Lotka-Volterra系统;  首次积分;  向量场;  稳定性
Keywords:
Lotka-Volterra system;  first integral;  vector field;  stability
分类号:
O175.31
文献标志码:
A
摘要:
为研究二维Lotka-Volterra系统平衡点的稳定性问题,利用首次积分和向量场给出了平衡点一致稳定的充分条件,同时将结论推广到一般的二维系统中,并用实例验证了本文结论的有效性.
Abstract:
To study the stability for two-dimensional Lotka-Volterra, the sufficient condition of the stability for two-dimensional Lotka-Volterra system was given by using first integral and vector field. Then the conclusion was extended to general two-dimensional systems and the effectiveness was verified by an example.

参考文献/References:

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备注/Memo

收稿日期: 2015-05-13 作者简介: 唐晓伟(1983—),女,讲师,研究方向为微分方程稳定性.基金项目: 山东省青少年教育科学规划课题(15BSH278); 齐鲁师范学院校级青年教师项目(2014L1002)

更新日期/Last Update: 2015-07-30