[1]徐 茜,赵 烨,杨玉洁.Lotka-Volterra交错扩散方程组平衡解的局部渐近稳定性[J].南京师范大学学报(自然科学版),2018,41(04):7.[doi:10.3969/j.issn.1001-4616.2018.04.002]
　Xu Qian,Zhao Ye,Yang Yujie.Stability of Steady State Solution for a Lotka-VolterraModel with Cross Diffusion[J].Journal of Nanjing Normal University(Natural Science Edition),2018,41(04):7.[doi:10.3969/j.issn.1001-4616.2018.04.002]
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Lotka-Volterra交错扩散方程组平衡解的局部渐近稳定性()
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《南京师范大学学报》（自然科学版）[ISSN:1001-4616/CN:32-1239/N]

卷:
第41卷
期数:
2018年04期
页码:
7
栏目:
·数学与计算机科学·
出版日期:
2018-12-31

文章信息/Info

Title:
Stability of Steady State Solution for a Lotka-VolterraModel with Cross Diffusion
文章编号:
1001-4616(2018)04-0007-05
作者:
徐 茜1; 赵 烨2; 杨玉洁1
(1.北京联合大学基础部,北京 100101)(2.北京石油化工学院数理系,北京 102617)
Author(s):
Xu Qian1; Zhao Ye2; Yang Yujie1
(1.Department of Basic Courses,Beijing Union University,Beijing 100101,China)(2.Department of Mathematics and Physics,Beijing Institute of Petrolchemical Technology,Beijing 102617,China)
关键词:
分岔解; 谱分析; 稳定性
Keywords:
bifurcating solution; spectral analysis; stability
分类号:
O175.2
DOI:
10.3969/j.issn.1001-4616.2018.04.002
文献标志码:
A
摘要:
本文主要研究在空间异质环境下一个Lotka-Volterra带交错扩散项的方程组. 通过细致的谱分析和线性化稳定性理论,证明了该Lotka-Volterra交错扩散方程组的分岔平衡解是局部渐近稳定的.
Abstract:
We investigate a Lotka-Volterra model with cross diffusion in a spatially heterogeneous environment. Through the detailed spectral analysis and linearized stability theory,we prove that the bifurcating solution of the Lotka-Volterra system with cross diffusion is locally asymptotically stable.

参考文献/References:

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备注/Memo

备注/Memo:
收稿日期:2018-02-16.
基金项目:国家自然科学基金(11501031、11471221、11601030).
通讯联系人:徐茜,博士,副教授,研究方向:交错扩散方程. E-mail:xuqian098@163.com
更新日期/Last Update: 2018-12-30