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- 2018
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
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Abstract:
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.
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
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