In this paper, we are concerned with the dynamical behavior of a two-species Lotka-Volterra
mutualistic system with time delay. First of all, we use three different methods to discuss the global
stability of the unique positive equilibrium point of a two-species Lotka-Volterra mutualistic system
without time delay. Secondly, we study the change of the global stability for a two-species Lotka-Volterra
mutualistic system with time delay. Finally, we illustrative our results by some examples.
