%0 Journal Article
%T 空间异质环境下带交错扩散项的Lotka-Volterra模型分岔解的稳定性<br>The Stability of Bifurcating Solution for a Spatially Heterogeneous Lotka-Volterra Model with Cross Diffusion
%A 徐茜
%J 西南大学学报(自然科学版)
%D 2018
%R 10.13718/j.cnki.xdzk.2018.11.006
%X 主要研究空间异质环境下带交错扩散项的Lotka-Volterra方程组分岔解的局部渐近稳定性.由分岔方向及细致的谱分析，证明了分岔平衡解是局部渐近稳定的.<br>In this paper, we concern with the local asymptotical stability of the bifurcating solution for the Lotka-Volterra system with cross diffusion in a spatially heterogeneous environment. By applying a detailed spectral analysis based on the bifurcating direction we prove that the bifurcating steady state solution is locally asymptotically stable
%K 谱分析
%K 稳定性
%K 分岔解&lt
%K br&gt
%K spectral analysis
%K stability
%K bifurcating solution
%U http://xbgjxt.swu.edu.cn/jsuns/html/jsuns/2018/11/20181105.htm