中文摘要：

研究具无穷时滞的两种群互惠扩散偏微分方程模型,用线性化和谱分析的方法讨论系统的局部稳定性,用上下解方法讨论系统在正平衡点处的全局渐近稳定性.

英文摘要：

This paper deals with partial differential equations with the infinite delay,which describes the two-species mutualistic diffusive model.The local stability of the equilibria has been discussed by method of linearization and spectral analysis,the globally asymptotic stability of its positive equilibrium are presented by using the upper and lower solution method.