Lotka-Volterra交错扩散方程组平衡解的局部渐近稳定性

Stability of Steady State Solution for a Lotka-Volterra Model with Cross Diffusion

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.

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.